Mel works as a delivery person for Amazon. The graph shows a linear model for his delivery times on
different days.
(a) What is the equation of the line, first written in point-slope form and then written in slope-intercept
form? Show how you determined the equation.
(b) Based on the linear model, predict how long it initially took Phillip to deliver his packages.
Approximately how much did his delivery time decrease per day?

Mel Works As A Delivery Person For Amazon. The Graph Shows A Linear Model For His Delivery Times Ondifferent

Answers

Answer 1

Answer:

Point slope form: -9 = m(3)

Slope intercept form: y = -3x + 30

At x = 0, his delivery time was 30 minutes. It decreased by 3 minutes per day.

Step-by-step explanation:

We have 2 points to calculate the line.

(3, 21) x1 y1

(6, 12) x2 y2

First, we need to calculate the slope.

m =

m =

m = -3

Point slope form is:

y - y1 = m(x - x1)

So for our case:

-9 = m(3)

And slope intercept form is:

y = mx + b

We need to solve for the y intercept (b)

y = -3x + b --- enter the slope

21 = -3(3) + b --- enter in any point on the line for x and y

21 = -9 + b

b = 30 --- solve for b

Now our slope intercept form of the line is:

y = -3x + 30

At x = 0, his delivery time was 30 minutes. It decreased by 3 minutes per day.


Related Questions

What is the value of the expression 2 x 7 + 9 − 3 ÷ 3?

a 24
b 22
c 32
d 36

Answers

The answer to your question is b-22

Answer:

22?

Step-by-step explanation:

just follow PEMDAS. first multiply then divide then add then subtract

一30 + (-2)=
What is the answer

Answers

Answer:

一30 + (-2)=

What is the answer

Step-by-step explanation:

一30 + (-2)= -32

can someone help me pls, I’ll give you points

Answers

Answer:

c :) brainliest?

Step-by-step explanation:

Answer:

-6 < -2

Step-by-step explanation

The graph of a parabola has an axis of symmetry of and an intercept at . It passes through the point . What is the equation representing this parabola?

Answers

Answer:

The answer is B! All I did was take a screenshot of your question and put on my page.

A square has a perimeter of 36 ft. What is the length of each side?

Answers

9 ft is the answer because a square has four sides, so 36 divided by 4 is 9

What is the outlier of 29, 2, 28, 30, 26, 31

Answers

Answer:

2

Step-by-step explanation:

Given the data : 29, 2, 28, 30, 26, 31

Outlier ;

Lower :Q1 - (1.5 * IQR)

Upper : Q3 + (1.5 * IQR)

Q1 = Lower quartile ; Q3 = upper quartile ; IQR = Interquartile range

Using calculator :

Q1 = 26

Q3 = 30

IQR = (Q3 - Q1) = 30 - 26 = 4

Lower : 26 - (1.5 * 4) = 20

Upper : 30 + (1.5 * 4) = 36

Hence, the number in the given data which falls outside the range is 2

In Algebra you learned that Difference of Perfect Squares is x^2 - 25 = (x+5)(x-5)
Is there a way to factor the sum of perfect squares? ex: x^2 + 25 = (?)(?)

Answers

Answer:

(x+5i)(x-5i)

Step-by-step explanation:

We use imaginary numbers to solve that. since i = sqare root of -1 so i * i = -1.

Solve the system of linear equations by substitution x-y=2 x+2y=5

Answers

Can anyone help me with my questions

Answer:

x = 3

y = 1

Step-by-step explanation:

x - y = 2    ---------------(I)

x + 2y= 5 ----------------(II)

x - y = 2

   x = 2 + y       _________(III)

Substitute x = 2 + y in equation (II)

2 + y + 2y = 5           {combine like terms}

     2 + 3y  = 5

           3y  = 5 -2

            3y = 3

              y = 3/3

y = 1

Substitute y = 1 in equation (III)

x = 2 + 1

x = 3

3. As a fundraiser the school has a pie eating contest. Matt eats 2.75 pies in 300 seconds. b. Use place value, multiplication with powers of 10, or equivalent fractions to explain what is happening mathematically to the decimal points in the divisor and dividend before dividing.​

Answers

Answer:

Using equivalent fractions, the time Matt takes to eat 1 pie is 1200/11 which is the same as [tex]109\frac{1}{11}[/tex] seconds

Step-by-step explanation:

The number of pies Matt eats = 2.75 pies

The time duration Matt eats 2.75 pies = 300 seconds

Mathematically, the time duration for Matt to eat one pie is given as follows;

The time to eat 2.75 pies = 300 seconds

Dividing both sides of the equation by 2.75 gives;

The time to eat 2.75/2.75 pie = 300/2.75 seconds

2.75/2.75 = 1, therefore, we have;

The time to eat 1 pie = 300/2.75 seconds

The equivalent fraction of 3000/2.75 = 1200/11

Therefore;

The time Matt takes to eat 1 pie = 1200/11 seconds

Quadratic Equation

The sum of the ages of two friends is 13 years and the product
of their ages is 42. Find their ages.​

Answers

Step-by-step explanation:

The sum of ages of two friends is 13 years.

The product of their ages is 42.

Let the age of 1st friend and 2nd friend is x, y respectively.

1 st condition= The sum of ages of two friends is 13 yrs.

i.e x+y = 13........ (I)

2nd condition= The product of their ages is 42.

i.e X*y = 42........(ii)

From equation (I)

X+y = 13

or, X = 13-y........ (iii)

Putting the equation (iii) in equation (ii).

X*y= 42

(13-y) * y = 42

13y - y^2 = 42

[tex] {y}^{2} - 13y + 42 = 0[/tex]

[tex] {y}^{2} - (7 + 6)y + 42= 0[/tex]

[tex] {y}^{2} - 7y - 6y + 42 = 0[/tex]

[tex]y(y - 7) - 6(y - 7) = 0[/tex]

[tex](y - 6) (y - 7) = 0[/tex]

Either; y-6 = 0

y = 6

Or;

y-7=0

y = 7

Keeping the value of y as "7" in equation (ii)

x*y = 42

7x = 42

X = 42/7

Therefore, the value of X is 6.

Therefore, either 1st friend is 6 years and 2nd is 7 years.

Hope it helps...

If I buy 5 plants from the garden centre at £3.00 a plant how much do the plants cost? If I have a £20 note how much change will I get?

Answers

first: £15.00
second: £5.00

Answer:

They will cost you £5.00 total

Step-by-step explanation:

If the plants each cost £3.00

You multiply the amount of plants, in this case is 5 by the price :-

5×3.00

= £15.00

You then subtract the total from the cash

15.00 - 20.00

= £5.00

please help me i’ll give brainliest

Answers

Answer:

A

Step-by-step explanation:

Louis is constructing the perpendicular bisector

of GH . He has already constructed an arc as

shown.

What should Louis do for his next step?

Answers

Solution :

It is given that Louis is constructing a perpendicular bisector of a line GH.

Let the line GH be x units of length.

Louis is constructing a perpendicular bisector. So he should follow the following steps :

1. Louis should take the help of a compass and place the needle of the compass on one end of the line and take a measurement that is equal to the more than half the length of the line GH.

2. Then keeping the compass needle at one end of he line, Louis have to draw an arc  above and below the line GH.

3. Now with the same measurement in the compass, place the compass needle on the other end and similarly cut two arcs above and below intersecting the previous arcs.

4. Now join the intersecting point with a straight line.

5. This is the perpendicular bisector of the given line GH.

The point (2,1) is rotated 90 degrees clockwise using center (0,0). What are the coodinates of the image?

Answers

Answer:

(1,-2)

Step-by-step explanation:

Rotation of Figures

When we rotate a figure 90 degrees clockwise across the origin, each point of the given figure has to be changed from (x, y) to (y, -x).

We are given the point (2,1) and it is rotated 90 degrees clockwise across the origin, thus the image has coordinates (1,-2).

The figure below shows the point and its image.

I want snuggles 8+-91=?
someone plz give me snuggles.

Answers

Answer:

its -83

Step-by-step explanation:

Answer:

-83

also ok ;)))

A kid’s bicycle costs $110.00 at a department store, who is offering a 15% off coupon. Determine the final price of the bike after both the discount and 6.25% sales tax.

Answers

Answer:

100.375

Step-by-step explanation:

so 110

110/100=1.1

*15

16.5

16.5 dollar coupon

ok then sales tax

1.1*6.25

6.875

sales tax is 6.875

110-16.5

93.5

93.5+sales tax 6.875

100.375

final price 100.375

hope this helps!!

A team of 5 runners competed in a relay race. Each runner had to run 730 yards. How long was the race?

Answers

Answer:

3650 yards

Step-by-step explanation:

Number of runners = 5Each runner's completed distance = 730 yards

Total distance:

5*730 = 3650 yards

helppppppppp i will give points

Answers

Pretty sure that would be 120. Since the angles of a triangle add up to 180, you just add 25 and 35 (makes 60) and subtract it by 180, leaving 120

What is (1/4x−7)−(3/4x−5) ? Explain how you found your answer.

Answers

Answer:

2

Step-by-step explanation:

pls help if I don’t finish today mom will hurt me

Answers

Answer:

We conclude that:

g(10) = 8

Step-by-step explanation:

First, we need to clear some concepts on how to fetch input and output from the function graph.

Determining the y-intercept:

We know that the y-intercept of the graph function can be determined by setting x = 0 and determining the corresponding y-value.

From the graph it is clear that x = 0, the value of y = 5. In other words, the graph intersects the y-axis at y = 5.

Therefore, the y-intercept of the graph is (0, 5).

Thus,

g(0) = 5

Determining the x-intercept:

We know that the x-intercept of the graph function can be determined by setting y = 0 and determining the corresponding x-value.

From the graph, it is clear that y = 0, the value of x = -10. In other words, the graph intersects the x-axis at x = -10.

Therefore, the x-intercept of the graph is (-10, 0).

Thus,

g(-10) = 0

Determining g(10):

From the graph, it is clearly visible that at x = 10, the value of the function output y = 8.

In other words,

at x = 10, g(10) = 8

Therefore, we conclude that:

g(10) = 8

You are draining your fish
aquarium. After 2 min. there are
6 gallons of water in the
aquarium. After 10 min the
aquarium is empty. Type an
equations that represents the
volume y of water in the
aquarium after x minutes.
uarium

Answers

Every minute, 0.6 gallons are emptied

Answer:

y=-3/4x+15/2

Step-by-step explanation:

Kiera has $60 to spend online and plans to buy 8 pop songs and some e-books. The songs cost $1.29 each and
the books cost $9.95 each. Which inequality can be used to find the number of e-books, and what is the
greatest number of e-books, x, she can buy?

Answers

Answer:

she can buy 4 e books.

I don't know about the equation but there is the work below if that helps.

Step-by-step explanation:

8x 1.29= 10.32

60-10.32=49.68

49.68/ 9.95= 4.99

she can buy 4 books.

Answer:

um i have this question so i dont know

Step-by-step explanation:

1/6x + 3/2 slope of line

Answers

Answer: m=1/6

Step-by-step explanation:

The polynomial x3 + 64 is an example of a

Answers

Answer:

cubic polynomial.

Step-by-step explanation:

This gives you an example of cubic poloynia

Marta tried solve the system below, but she made a mistake. Read carefully and try to figure out what her mistake was.

Finding Mistakes in a Solution
What was Marta’s mistake? Explain.

Answers

Answer:

Marta solved for y in the first equation and then substituted it back into that equation instead of the other one!

Step-by-step explanation:

edge 2020/2021

The mistake Marta did was substituting the value of a variable from equation 1 into same equation itself.

What is System of Equation?

The system of equation is set of equations which have a common solution.

Marta was trying to solve the following equations:

10x+y = 22

2x+y =-2

For using the substitution method , the value of a variable is taken in terms of another variable from equation 1 and substituted in equation 2

y = 22 -10x will be substituted in equation 2

2x + (22-10x) = -2

2x +22 -10x = -2

-8x = -24

x = 3

y = -8

The system of equation has finite solution of x = 3, y =-8.

The missing equations are attached with the answer.

To know more about System of Equations

https://brainly.com/question/12895249

#SPJ5

I need help with this please

Answers

Answer:

b

Step-by-step explanation:

there's a property for Alternate Interior Angles

Answer:

Choice B

Step-by-step explanation:

The reason why < 3 is equal to < 6 is because they are alternate interior angles.

The first choice are supplementary angles they add up to 180 so they can't be equal.

The third one is false because we don't actually know the measurements of the angles but they both need to be 45° to add up to 90 since they are equal to each other.

The last one is also incorrect because they are vertical angles just like the third choice and they aren't on a line so they can't add up to 180.

George bought 2 identical couches and 3 identical chairs. A couch cost twice as much as a chair. He spent $270 more on th ecouches than on the chairs. How much did he spend altogether

Answers

50 i think I am not sure

Pls help i need to fnsh

Answers

Answer:

(1,0)

Step-by-step explanation:

Step-by-step explanation:

Are you here??

..........

Find the difference.
8 - 4 = 1

Answers

Eight minus four equals four!

Answer:

8 - 4 =4

Step-by-step explanation:

WWhat is the value of p2+p+10 when p=4​

Answers

Answer:

value = 30(thirty).....

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