To rent a bike, Max pays a flat rate of $5 plus an hourly rental fee. The graph shows the amount, C, in dollars, that Max pays based on the number of hours, t, that Max rents the bike. What is the rate of change in the cost to rent the bike with respect to the number of rental hours?
$5 per hour

$2.50 per hour

$2 per hour

$7.50 per hour

Answers

Answer 1

Answer:

C

Step-by-step explanation:

Answer 2

The rate of change in the cost to rent the bike with respect to the number of rental hours will be $2.5 per hour so option (B) will be correct.

What is a linear function?

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

In another word, a linear function is a function that varies linearly with respect to the changing variable.

The rate of change is also called the slope of the function.

Since it is a linear function so slope will remain constant.

Slope = difference in ys coordinate/difference in xs coordinate

Slope = (30-5)/(10-0) = 2.5

Hence "The rate of change in the cost to rent the bike with respect to the number of rental hours will be $2.5 per hour".

For more about the linear function,

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To Rent A Bike, Max Pays A Flat Rate Of $5 Plus An Hourly Rental Fee. The Graph Shows The Amount, C,

Related Questions

Which number is positive?
-87
-20
9
-6

Answers

Answer:

9 that is the answer.....

Answer:

the answer is 9

Step-by-step explanation:

the rest are negative numbers

find the prime factorization of 30,031​

Answers

Answer:

30,031 is not a prime, is a composite number. Integer prime factorization, as a product of prime factors: 30,031 = 59 x 509.

Step-by-step explanation:

Let's learn by having an example, take number 220 and build its prime factorization.

0) We need the list of the first prime numbers, ordered from 2 up to, let's say, 100: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97. Prime numbers are the building blocks of the composite numbers' prime factorization process.

1) Start by dividing 220 by the first prime number in our list, 2 (start with the smallest prime number). We could have skipped the division by 2 if our number were an odd number, ie. 221.

220 ÷ 2 = 110; remainder = 0 => 220 is divisible by 2 (2 | 220) => 2 is a prime factor of 220. => 220 = 2 × 110.

2) Divide the result of the previous operation, 110, by 2, again:

110 ÷ 2 = 55; remainder = 0 => 110 is divisible by 2 (2 | 110) => 2 is once again a prime factor of 220 => 220 = 2 × 2 × 55.

3) Divide the result of the previous operation, 55, by 2, again:

55 ÷ 2 = 27 + 1; remainder = 1 => 55 is not divisible by 2.

4) Move on, divide 55 by the next prime number, 3 (notice that the sum of digits of 55 is 5 + 5 = 10 is not divisible by 3, so 55 is not divisible by 3):

55 ÷ 3 = 18 + 1; remainder = 1 => as we already said, 55 is not divisible by 3.

5) Divide 55 by the next prime number, 5:

55 ÷ 5 = 11; remainder = 0 => 55 is divisible by 5 (5 | 55) => 5 is yet another prime factor of 220 => 220 = 2 × 2 × 5 × 11.

6) Notice that the remaining number, 11, is also a prime number, so we've got already all the prime factors of 220.

7) Conclusion, 220 prime factorization: 220 = 2 × 2 × 5 × 11.

This can be written in a condensed form, in the exponent notation: 220 = 22 × 5 × 11.

− 2 3 y − 3 5 x + 2 9 − 4 5 x + 1 3 y Let x = 5 and y = 3. − 2 3 (3) − 3 5 (5) + 2 9 − 4 5 (5) + 1 3 (3) = −2 − 3 + 2 9 − 4 + 1 = −77 9 Use the work shown. Which expression is equivalent to Negative two-thirds y minus three-fifths x + StartFraction 2 over 9 EndFraction minus four-fifths x + one-third y? y minus four-fifths x + StartFraction 2 over 9 EndFraction minus two-thirds y minus one-fifth x Negative y minus four-fifths x + StartFraction 2 over 9 EndFraction + two-thirds y + three-fifths x One-third y minus StartFraction 7 over 5 EndFraction x + two-thirds minus two-thirds y minus StartFraction 4 over 9 EndFraction Two-thirds y minus StartFraction 7 over 5 EndFraction x + StartFraction 2 over 9 EndFraction + y

Answers

Answer:

c

Step-by-step explanation:

Answer:

yo

Step-by-step explanation:

its C  

trust me

i did edge

Please solve for x. Someone helppppp

Answers

Answer:

36

Step-by-step explanation:

MPA is a right angle 90 + (1/2x +15) + (2x-50) = 180

                                - 90                                        -90

                                          (1/2x + 15) + (2x - 50) = 90

                                                    - 15            -50   -65

                                                              1/2x + 2x = 90

                                                         2&1/2x (2.5) = 90  

                                                                       /2.5     /2.5

                                                                            x = 36

I need to find the value of y

Answers

Answer:

x = 98

y = 126

Step-by-step explanation:

If you match triangle abc to triangle cde, you will match where x and y is.

168 ÷ 12 = 14

Now you multiply 14 by the other side lengths

9 • 14 = 126

7 • 14 = 98

It is similar to a dilation.

A recipe for salad dressing calls for 4 parts oil for every 3 parts vinegar.How much oil should you use to make a total of 28 teaspoons of dressing

Answers

Answer:

16 teaspoons

Step-by-step explanation:

4x4= 16 teaspoons

The amounts of oil and vinegar combined to make the salad dressing are

in a constant definite proportion.

The quantity of oil required to make 28 teaspoons of dressing is 16

teaspoons.

Reasons:

According to the question, 4 parts of oil are added to every 3 parts of

vinegar.

Therefore;

The ratio or proportion of oil to vinegar in the salad dressing is 4 : 3

4 : 3 = [tex]\dfrac{4}{3}[/tex]

The proportion of oil to vinegar is therefore;

[tex]\mathrm{Amount \ of \ oil = \mathbf{\dfrac{4}{3} \times \ Amount \ of \ vinegar}}[/tex]

Which gives;

[tex]\mathrm{Amount \ of \ vinegar= \dfrac{3}{4} \times \ Amount \ of \ oil}[/tex]

Let x represent the amount of oil required to make 28 teaspoons of dressing,

we have;

[tex]\mathrm{Amount \ of \ vinegar \ required = \dfrac{3}{4} \times x}[/tex]

Which gives;

[tex]\mathrm{x + \dfrac{3}{4} \times x = 28}[/tex]

[tex]\mathrm{x + \dfrac{3}{4} \times x = \dfrac{7}{4} \times x = 28}[/tex]

Therefore;

[tex]x = \dfrac{4}{7} \times 28 = \dfrac{4}{7} \times 7 \times 4 = 4 \times 4 = 16[/tex]

The amount of oil required to make 28 teaspoons of dressing, x = 16 teaspoons.

Learn more here:

https://brainly.com/question/20320243

can some please help me

Answers

Answer:

i think it is D

what calculation is modeled on the number line?

Answers

Answer: I think it's-4/10 + (-7/10) = -1 1/5

Step-by-step explanation: number line

Answer:

-4/10 + (-7/10) = -1 1/5

If its incorrect ..........

Step-by-step explanation:

...........I need an image

evaluate the expression if a=-2 and b = 5

Answers

If , a = (-2) and b = 5

Then :-

[tex] = \frac{8 \times 5 - 6 \times ( - 5)}{13} [/tex]

[tex] = \frac{40 - ( - 30)}{13} [/tex]

[tex] = \frac{70}{13} [/tex]

[tex] = 5.384615[/tex]

[tex]∴ \: \frac{8 \times 5 - 6 \times ( - 5)}{13} = 5.384615[/tex]

Josh ran 33 miles this week.if he ran the same distance each day for 4 days,what distance did he run each day

Answers

He ran 8.25 miles each day
Ran 8.25 miles each day

(5x+2) - (7x-8) simplify the following​

Answers

Answer:

-2x + 10

Step-by-step explanation:

Step 1: Write expression

(5x + 2) - (7x - 8)

Step 2: Distribute negative

5x + 2 - 7x + 8

Step 3: Combine like terms

-2x + 10

Answer:

-2x+10

Step-by-step explanation:

All you have to do is combine like terms.

What is the domain of g

Answers

Answer:

All real values of 'x'. i.e., the answer to the question is 'E'

I REALLY NEED HELP WORTH 10 POINTS URGENT!!!!!

Answers

Answer:

[tex](f\circ g)(4)=31[/tex]

Step-by-step explanation:

Composite Function

Given f(x) and g(x) real functions, the composite function named fog(x) is defined as:

[tex](f\circ g)(x)=f(g(x))[/tex]

For practical purposes, it can be found by substituting g into f.

We have:

[tex]f(x)=3x+1[/tex]

[tex]g(x)=x^2-6[/tex]

Computing the composite function:

[tex](f\circ g)(x)=f(g(x))=3(x^2-6)+1[/tex]

Operating:

[tex](f\circ g)(x)=3x^2-18+1[/tex]

Operating:

[tex](f\circ g)(x)=3x^2-17[/tex]

Now evaluate for x=4

[tex](f\circ g)(4)=3(4)^2-17=48-17[/tex]

[tex]\boxed{(f\circ g)(4)=31}[/tex]

32 lbs of bananas cost $160. How many lbs of bananas can
you get with $225?

Answers

Answer:only 32lbs because 160 times 2 is 320 and you only have 225 dollars.

Step-by-step explanation:math

Answer:

45lbs

Step-by-step explanation:

160/32=$5 Per lb of bananas

225/5=45lbs

Which function has the domain x>-11?

Answers

Answer:

1

Step-by-step explanation:

-11 + 11 =0

0+1= 1

So it would be 1>-11

Answer:

A

y = [tex]\sqrt{x+11}[/tex] + 5

Step-by-step explanation:

For edge

Find the 5th term for -12,-7,-2,3

Answers

the answer is 8

each time you add 5

-12 + 5 = -7
-7 + 5 = -2
-2 + 5 = 3
3 + 5 = 8

The height of an Egyptian pyramid is 146.5 meters and its base is 230.38 meters. Find the slope of the face of a pyramid.

Answers

Answer:

[tex]Slope = 1.57[/tex]

Step-by-step explanation:

Given

[tex]Height = 230.38\ m[/tex]

[tex]Base = 146.5\ m[/tex]

Required

Determine the slope

Slope is calculated as thus:

[tex]Slope = Rise/Run[/tex]

In this case:

[tex]Rise = Height = 230.38 m[/tex]

[tex]Run = Base = 146.5 m[/tex]

So, we have:

[tex]Slope = 230.38 / 146.5[/tex]

[tex]Slope = 1.57[/tex] (approximated)

what are the possible rational zeros of f(x)=2x^3-15x^2+9x+22

Answers

Answer:

f'(x)=6×^2=30x+9

Step-by-step explanation:

take the derivative of both sides

use differentiation rule

calculate the derivative

simplify the expression

I weigh 180 pounds how much is that in kilograms .

Answers

Answer:

81.72 kg

Step-by-step explanation:

1 pound = 0.454 kg

180 pound = 0.454 × 180

= 81.72 kg

Answer:

81.6466 kilograms

Step-by-step explanation:

To convert pounds to kilograms divide the mass value by 2.205

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

plz help !! ty very much!!​

Answers

Your answer is A good luck

Answer:

EZ PZ A

Step-by-step explanation:

Since the 3 in in the thousands Place, Just multiply 3,000 by 100, and you get 300,000. Then just find the one that has a 3 in the one hundred thousands place which would be A.

change 3/5 into decimal ​

Answers

Answer: 0.6

Step-by-step explanation: 3 divided by 5 is the same thing as 30/5 which equals 6. Just move the decimal place one to the left to get 0.6.

Hope this helps! :)

Answer: 0.6

Step-by-step explanation:

Divide 3 by 5, and you end up with the decimal 0.6

Which equation is equivalent to the equation 6x+9=12?

Answers

Answer:

x=1/2

Step-by-step explanation:

Simplify:
-2x-2x(5-4x)+3x(4-3x)

Answers

Answer:

−x⋅(17x−24)

Step-by-step explanation:

(-2x -  (2x • (5 - 4x))) +  3x • (4 - 3x)

 (-2x -  2x • (5 - 4x)) +  3x • (4 - 3x)

  24x - 17x2  =   -x • (17x - 24)

What is the unit rate of the oranges if I purchased 10 oranges for $2.50​

Answers

Answer:

.25 per orange

Step-by-step explanation:

2.5/10=.25

4/6x 3/5 please help me will give brainliest

Answers

Answer:

0.4

Step-by-step explanation:

all I got to say is that the answer is 0.4 %100

An alligator walks 6/7 of a mile in 3/4 of an hour. What is the unit rate

Answers

Answer: 2 miles per hour

Step-by-step explanation: This is a fraction equal to

6 miles ÷ 3 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 3

6 miles ÷ 3

3 hours ÷ 3

=  

2 miles

1 hour

=  

2 miles

hour

= 2 miles per hour

what is the simplified radical of square root of 392?

Answers

Answer:

14 √2

Step-by-step explanation:

 Given expression:

             √392

Simplified radical = ?

Solution:

      392  = 8 x 49

    =  √8 x 49

    =   7√8

    =   7√4 x 2

    = 7 x 2√2

    = 14 √2

How many hours are in 45 days

Answers

Answer:

Step-by-step explanation:

1,080 hours just multiply 24 and 45

Please help this is urgent and it's due today.

Answers

what is ?
there isn’t a picture

mark the statements that are true

Answers

yeah me too loisksdkd
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