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9

GUEST, GUEST

A rental car company has a linear pricing plan. The total cost, C, to rent a car for 2, 4, 6, and 10 days, d, is shown.

Days Total Cost

(d) (C)

2. $105

4 $195

6 $285

10 $465

A. What is the daily rate for the pricing plan?

B. Write an equation that represents the pricing plan.

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A.

10:53 AM

4/16/2021

SA

B.

O

Sagot :

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Answer:

$45

y = 45x + 15

Step-by-step explanation:

Given :

Days Total Cost

(d) (C)

2. $105

4 $195

6 $285

10 $465

The daily rate is the slope :

Slope = Rise / Run

Slope = (y2 - y1) / (x2 - x1)

Slope = (465 - 105) / (10 - 2)

Slope = 360 / 8

Slope = 45

Daily rate = $45

Using the slope intercept relation :

y = mx + c

m = slope, c = intercept

105 = 45x + c

105 = 45(2) + c

105 = 90 + c

105 - 90 = c

15 = c

Pricing plan :

y = 45x + 15

Answer is 45 because if you divide 90/2 it equal 45

C=45d+15