Answered: y Cost of Renting a Car 80 y = f\x) 70…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter8: Linear Functions

Section8.7: Function Notation

Problem 2E

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Question

You rent a car from a company that charges $20 per day plus $0.10 per mile. The car is driven 200 miles in the first day. The figure shows the graph of the cost, f(x), in dollars, as a function of the miles, x, that you drive the car. Solve, What is the cost to rent the car at the start of the second day?

y
Cost of Renting a Car
80
y = f\x)
70
60
Second day
50
40
y = f(x)
30
First day
20
10
50 100 150 200 250 300
Miles Driven
Cost (dollars)

Expert Solution

Step 1

The cost function f(x) is given by:

f(x) = 20 + 0.10 x , for x miles driven

Step 2

The cost to rent the car at the start of second day is given by $20 + the cost to rent the car at first day

From the graph, it is seen that the cost to rent the car for first day = $40

And so cost to rent the car on second day = $20 + $40 = $60 which is also evident from the graph

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