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Rental-Car Costs. During one month. the Avis Rent-A-Car rate for renting a Buick LeSabre in Mobile. Alabama, was \(68.22 per day plus 25\) per mile. For a 1-day rental, let x denote the number of miles driven and let y denote the total cost, in dollars.

a. Find the equation that expresses y in terms of x.

b. Determine b0 and b1 .

c. Construct a table similar to Table 4.1 on page 158 for the x-values 50,100 ,and 250 miles.

d. Draw the graph of the equation that you determined in part (a) by plotting the points from part (c) and connecting them with a line.

e. Apply the graph from part (d) to estimate visually the cost of driving the car 150 miles. Then calculate that cost exactly by using the equation from part (a).

Short Answer

Expert verified

a. Equation representing yin terms of xis y=25x+68.22.

b. b0=68.22and b1=25

c. Table is given below.

d. Graph is given below.

e. The cost of driving the car 150miles is $3818.22.

Step by step solution

01

Part(a) Step 1: Given information

We need to find equation which represents y in terms of x.

02

Part(a) Step 2: Explanation

For 1-day rental 68.22is constant and total cost will be 25*(milesdriven).

x=miles driven

y=total cost

so, the equation will bey=25x+68.22

03

Part(b) Step 1: Given information

we need to find value of b0and b1

04

Part(b) Step 2: Explanation

General form of linear equation is y=b0+b1x

Comparing y=25x+68.22with general form we get,

b0=68.22 and b1=25.

05

Part(c) Step 1: Given information.

We need to find the table for x-values 50,100,and 250miles .

06

Part(c) Step 2: Explanation

Table is given below

Miles
x
Total cost($)
y
501318.22
1002568.22
2506318.22


07

Part(d) Step 1: Given information

We need to plot the graph of above linear equation.

08

Part(d) Step 2: Explanation

Graph for above linear equation is

09

Part(d) Step 1: Given information

We need to estimate the cost of driving the car 150miles using graph first and then calculate exact value of cost by using linear equation.

10

Part(d) Step 2: Explanation

According to graph the estimate value of cost for 150miles is around $3800

if we put the value of x=150we get y=3818.22

So the exact cost is$3818.22

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