Source: Khan Academy ( Relating linear contexts to graph features)


Kayden is a stunt driver. One time, during a gig where she escaped from a building about to explode(!), she drove at a constant speed to get to the safe zone that was 160 meters away. After 3 seconds of driving, she was 85 meters away from the safe zone.


Let y represent the distance (in meters) from the safe zone after x seconds.


Which of the following could be a graph of the relationship?

Source: Khan Academy ( Relating Linear Contexts To Graph Features)Kayden Is A Stunt Driver. One Time,

Answers

Answer 1

The graph that could represent the relationship between distance and time is: Graph C.

How to Interpret the Graph of a Relationship?

A graph is usually plotted to have the independent variable on the x-axis and the dependent variable on the y-axis. For example, tin the scenario given, distance is plotted on the y-axis, while time is plotted on the x-axis.

The slope of a graph declines if the initial value decreases or if the slope value is negative and reduces.

In this scenario given, the starting value/initial value is 160 meters. After 3 seconds of driving, the initial value/starting value decreases to 85 meters.

This implies that the slope of the graph is declining from left to right. Therefore, the graph that could represent the relationship between distance and time is: Graph C.

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Answer 2

Answer:

GRAPH C

Step-by-step explanation:

khan


Related Questions

Solve for f.

0.3 = 0.5 f - 0.7

Answers

F is 2 that’s the answer!!

Answer:

 0.3 = 0.5 f - 0.7

+ 0.7            + 0.7

_______________

1  =  0.5 f

_________

0.5   0.5

2 = f       ( f = 2 )

f = 2    or     2 = f

15 total kids were at the park. 6 of them were girls. What % of the kids were girls?

Answers

Answer:

40%

Step-by-step explanation:

6/15 = 0.4

0.4 * 100 = 40%

Answer:

40%

Step-by-step explanation:

Since there are 15 total kids and 6 of them are girls, we can write this question as the fraction 6/15.

6/15 is 0.4 and to get the percent you would multiply by 100%.

Therefore the answer is 40%

"The straight line of depreciation for a luxury car is modeled by the following equation:
y=-2,100x + 81,600
What is the original price of the car?"
A) $-2,100
B) $2,100
C) $81,600
D)$79,500

Answers

C) &81,600 I think so I’m not sure

10) A game went on sale from $16.00 to $13.00. What is the percent of
change?
a) 18.13% increase
b) 18.75% decrease
c) 22.3% increase
d) 23.1 % decrease

Answers

Answer:

The answer is b) 18.75% decrease

Classify this value -12 and give and explanation.
A. Rational
B. Irrational
C. Whole
D. Integers

Answers

Answer:

-12 is rational & an interger

Step-by-step explanation:

negative number are intergers

rational number can be made into fractions:

hence -12/1 is a fraction its rational

Which matrix represents the system of equations?

3x + 5y = −9

x + 5y = 16

Answers

I belive the answer could be based on my theory it is 4

The midpoint of \overline{\text{AB}}
AB
is M(-2, 5)M(−2,5). If the coordinates of AA are (1, 7)(1,7), what are the coordinates of BB?

Answers

The coordinates of the B is obtained as (-5, 3).

What is referred as coordinates?

Coordinates are 2 numbers (Cartesian coordinates) or a letter and a number that point to a specific point on a grid known as a coordinate plane.

A coordinate plane does have four quadrants as well as two axes: x (horizontal) and y (vertical) (vertical). The point where the two axes intersect is known as the origin, and its coordinates are (0, 0).Coordinates are composed as (x, y), which means the x axis point comes first, accompanied by the y axis point.

Now, as per the given question;

The coordinates of A is given as (1, 7).

The coordinates of mid point M is given as (-2, 5).

The coordinates are listed in pairs, with the x value at the top.

The shift in the x location is as follows:

1 - (-2) = 3

The change in y position is as follows:

7 - 5 = 2

Because the midpoint is half - way between B and A, the change will remain constant, so x is;

- 2 - 3 = -5

And for is;

5 - 2 = 3

Therefore, the values of the coordinates of B is found as (-5, 3).

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The correct question is-

If M (-2, 5) is the midpoint of AB and the coordinates of A are (1, 7), what are the coordinates of B?

. A restaurant charges a $100 setup fee, plus $15 per guest, to host a private party. The table
below shows the cost of hosting a private party for a certain number of guests.
Total Cost of Hosting a Private Party
Number of Guests Total Cost
(dollars)
10
250
20
400
30
550
40
700
50
850
How much does the restaurant charge for a private party with 45 guests?

Answers

Answer:

42

Step-by-step explanation:

i said so

The restaurant charge 775 $ in total for a private party with 45 guests.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let's suppose the total number of guest is x;

and, the Total Cost of Hosting a Private Party be y;

here it is given that :

A restaurant charges a $100 setup fee, plus $15 per guest, to host a private party then, this van be shown in linear equation as :

y = 15x + 100

Now, for 45 number of guests that is x = 45, then y will be :

y = 15x + 100

y = 15 x 45 + 100

y = 675 + 100

y = 775 $

Thus, the restaurant charge 775 $ in total for a private party with 45 guests.

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What does the point (1, 3) represent on the graph?

image

A.
It shows for every 1 item produced the revenue is $3.

B.
It shows that for every 3 items produced the revenue is $1.

C.
It shows that for every 300 items produced the revenue is $100.

D.
It shows that the revenue is a constant rate of $1.

Answers

Answer:

A

Step-by-step explanation:

Assuming that items are on the x axis and revenue is on the y axis we can predict that for every 1 item produced the revenue is $3.

Technically speaking you can write the coordinate point as:

(1 item, 3 dollars in revenue)

Therefore, letter A would be correct.

I hope this helps!!

- Kay :)

We can say that any of the two given conditions are true -

It shows for every 1 item produced the revenue is $3.It shows that the revenue is a constant rate of $1.

What is the general equation of a Straight line?The general equation of a straight line is -

        y = mx + c

        [m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

        [c] → is the y - intercept i.e. the point where the graph cuts the [y] axis

Other possible equations of line are -

(y - y₁) = m(x - x₁)                                {Point - slope form}(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁)      {Two point - slope form}x/a + y/b = 1                                        {intercept form}x cos(β) + y sin(β) = L                        {Normal form}

We have a the point (1, 3) represent on the graph.

Assume that we represent the item produced is mentioned along the [x] - axis and revenue generated is along the [y] - axis. Since, the graph is not given, we can assume that any one of the given condition is true -

It shows for every 1 item produced the revenue is $3.It shows that the revenue is a constant rate of $1.

Therefore, we can say that any of the two given conditions are true -

It shows for every 1 item produced the revenue is $3.It shows that the revenue is a constant rate of $1.

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Does 2/7 =11/37 because idk

Answers

Answer:

no. i do not think so.

Step-by-step explanation:

Answer: If you were to do the butterfly trick 7x11=77 and 2x37=74 so no they are not equal

Step-by-step explanation:

A store bought a pair of shoes for $50, and sold it for $80. What percentage was the markup?

Answers

Answer:  The required markup percentage is 60%.

Step-by-step explanation:  Given that the store bought a pair of shoes for $50 and sold it for $80.

We are to find the markup percentage.

The markup price of the pair of shoes is given by

Therefore, the markup percentage is given by

Sorry if i was wrong. But this soulution makes since so i think im right! Also please brainlest!

ASAP PLZ HELP WILL MARK AS BRAINLSIT

Answers

mark me brainlist first queen

Answer:

9

Step-by-step explanation:

18/2=9

If shan buy 3 packs of pop for $12.57 how much is each pop for

Answers

Answer:

The answer is 4.19

Step-by-step explanation:

12.57 divided by 3 = 4.19

Hope this helps!! :)

Answer:

$4.19 for each pop hoped this helped!

Step-by-step explanation:

Mark me as brainliest!

some birds migrate 20,000 miles. if 1 mile equals 1.6 km, calculate the distance these birds fly in km

Answers

If 1 mile equals 1.6 km, the distance these birds fly is 32000km.

Here we have,

Total miles = 20,000

Given, 1 mile = 1.6 kilometer

Thus, total km travel = 20000 x 1.6

Total km travel = 32000 km

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity. Any other quantity of that kind can be expressed as a multiple of the unit of measurement.

Thus, some bird species travel 20,000 miles. These birds travel 32000 kilometers if a mile is equal to 1.6 kilometers.

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HI PLEASE HELP WITH #13 and #14

Answers

Answer:

13. ∠x° = 99°

y° = 108

a ≈ 21.38

14. x° = 99°

Step-by-step explanation:

The given diagram is the diagram of a kite, therefore, we have;

One Pair of opposite angles are equal

Therefore, ∠x° = 99°

y° = 360 - 2 × 99 - 54 = 108

The base angles are;

(180 - 108)/2 = 36°

Similarly we have;

The side opposite ∠54° = 12 × 2 × cos(36°) ≈ 19.416

a/sin(63°) = 19.416/sin(54°)

a = sin(63°) × 19.416/sin(54°) ≈ 21.38

14. x° = 99°

Which undefined term is used to define an angle?
line
plane
point
ray

Answers

a undefined term used to define an angle is plane

Find the value of x. Show all work. Round your answer to the nearest tenth.
25
x
23
Please help

Answers

Answer:

            8.9

Step-by-step explanation:

[tex]\tan(23^o)=\dfrac{25}x\\\\\ x\tan(23^o)=25\\\\x=\dfrac{25}{\tan(23^o)}\\\\x\approx 58.9[/tex]

Solve for the value of q.
(49-5)°
39°

Answers

the answer is
q = 14

The histogram represents the distribution of the number of seconds it took for each of 50 questions to find the answer to a trivia question the internet. which interval contains the median.

Answers

The interval that contains the median 25.5 is

(5 - 10)

What is a median?

The median is the value that's exactly in the middle of a dataset when it is ordered.

We have a histogram as given below.

We need to make a table of class intervals and their frequency:

class interval      frequency

0-5                       22

5-10                       5

10-15                       9

15-20                      9

20-25                      5

25-30                      1

We also need to find the cumulative frequency.

class interval      frequency    cumulative frequency

0-5                       22                 22

5-10                       5                   22 + 5 = 27

10-15                       9                  27 + 9 = 36

15-20                      9                   36 + 9 = 45

20-25                      5                   45 + 5 = 50

25-30                      1                      50 + 1 = 51

Now,

The number of questions = 50 ( even number)

Median:

= (50 + 1) / 2

= 51 / 2

= 25.5

We need to select the cumulative frequency where it is greater than the median.

So we have 27 which is at the interval (5 - 10).

Thus the interval that contains the median 25.5 is (5 - 10)

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What is 25% of 80? in table form

Answers

Answer:

20

Step-by-step explanation:

Percentage solution with steps:

Step 1: Our output value is 80.

Step 2: We represent the unknown value with x.

Step 3: From step 1 above, 80=100%.

Step 4: Similarly, x=25%.

Step 5: This results in a pair of simple equations:

80=100% (1).

x=25%(2).

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

{80} = {100%} {25%}

Step 7: Again, the reciprocal of both sides give

{80}= {25} {100}

x=20

Therefore, 25% of 80 is 20

sorry if this is hard to understand it was what was going on in my brain. Hope this helps tho byeeeeee

6 (4x6) x 9 (5x9) judjsjdjdjddjdnnddnfndndndndndndndndn

Answers

Answer:

48 600

Step-by-step explanation:

6(4×6) × 9(5×9)

Solve the numbers in brackets first

6(20) × 9(45)= 120 × 405

= 4 8 600

Answer:

6(20) × 9(45)= 120 × 405

= 4 8 600

Which of the following are examples of irrational numbers? Select all that apply.
A. [tex]\sqrt{4} +\sqrt{16}[/tex]
B. [tex]\sqrt{5} + \sqrt{36\\}[/tex]
C. [tex]\sqrt{9} +\sqrt{24}[/tex]
D. [tex]2*\sqrt{4}[/tex]
E. [tex]\sqrt{49} *\sqrt{81}[/tex]
F. [tex]3\sqrt{12\\}[/tex]

Answers

The numbers √5 + √36, √9 + √24 and 3√12 are irrational numbers. (Correct choices: B, C, F)

Which numbers are irrational numbers?

Irrational numbers are a subset of real numbers that are not rational numbers, rational numbers comprises integers and non-integers. In this case, square roots are one of the most known cases of irrational numbers.   Now we proceed to check if each choice represents indeed an irrational number by algebraic handling:

Case A

√4 + √16 = 2 + 4 = 6

Case B

√5 + √36 = √5 + 6

Case C

√9 + √24 = 3 + √(6 × 4) = 3 + 2√6

Case D

2√4 = 2 × 2 = 4

Case E

√49 × √81 = 7 × 9 = 63

Case F

3√12 = 3√(3 × 4) = 6√3

The numbers √5 + √36, √9 + √24 and 3√12 are irrational numbers. (Correct choices: B, C, F)

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Mr. John has $800 to be shared in the ratio of 5:3 what amount would each receive

Answers

Answer:

500:300

Step-by-step explanation:

first add the ratios 5+3=8

then divide by 800

800÷8=100

now,

it's 500:300 .

hope I helped!

Answer: 500 : 300 because here Step-by-step explanation: Ratio Division Formula Rr = Rn × M : Rd × M Ratio Division Values Rn = 5 Ratio Numerator Rd = 3 Ratio Denominator Rs = Rn + Rd Rs = 5 + 3 Rs = 8 Ratio Sum a = 800 Amount to Divide M = a ÷ Rs M = 800 ÷ 8 M = 100 Multiplier Ratio Division Calculation Rr = Rn × M : Rd × M Rr = 5 × 100 : 3 × 100 Rr = 500 : 300

Help plz.......... thx :)

Answers

Answer:

2 . 2 . 2 . 2 . 2 . 2,  4 . 16, 8 . 8

Step-by-step explanation:

2 times itself 6 times

read it again it says all that applies

Answer:

It is the one with the purple outline, and then the rest in that column

who else is bummed that the exam has 50 questions on edge

Answers

Answer: ME

Step-by-step explanation:

can a smart person that is godly at geometry help me answer these four questions please? i will give you a virtual fake dollar and hug :)

Answers

Answer:

one dollar!?!??

Step-by-step explanation:

giiiiiirrrrrl u funny

Please do this it’s on my test and I’m already late I can’t figure it out and I’m struggling so much please help me on this I need it badly

Answers

In order to solve how many problems each person has solved, you have to multiply the fraction by the number of problems on their assignment. To do this, you multiply the numberator by the number of problems and then divide that by the denominator for both Dustin and Kelsey.

For Dustin, 3/8 * 24 = 72 / 8 = 9 problems completed

For Kelsey, 4/15 * 30 = 120/15 = 8 problems completed

Dustin has completed more problems

Answer:9

Step-by-step explanation:

Dustin done more he done 9 and kelsey done 8

during the first 60 seconds of a rocket launch after takeoff, a rocket traveled 208 kilometers in 50 minutes at a constant rate. suppose a penny is dropped from a skyscraper and could travel 153 kilomaters in 1/2 hours at a constant rate. which of these objects has a faster unit rate per hour?

Answers

The unit rate of the penny dropped is faster than the rocket.

How to find unit rate?

Unit rate is the ratio of two different units, with denominator as 1.

Therefore, rocket travelled 208 kilometres in 50 minutes at a constant rate and the penny dropped from a skyscraper could travel 153 kilometres in 1/2 hours at a constant rate.

The object that has the faster rate between the two can be found as follows:

50 minutes = 0.833333 hours

Rate of the rocket = 208 / 0.833333

Rate of the rocket = 249.60009984

Rate of the rocket = 249.60 km/hr

Rate of the penny dropped = 153 / 0.5

Rate of the penny dropped = 306 km/hr

Rate of the penny dropped = 306 km / hr

Therefore, the unit rate of the penny dropped is faster than the rocket.

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I need help ASAP!!!!

Answers

x = 3
B= 84
A = 62
C= 34

what is 1/3 of 1/9????????????

Answers

Answer:

God is better then satan

Answer: 3

Step-by-step explanation: 9/3 is 3

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