Q. 4.27

Question

Rental-Car Costs. During one month, the Avis Rent Car rate for renting a Buick LeSabre in Mobile, Alabama, was $68.22$ per day plus $0.25$ per mile. For a one day rental, let $x$ denote the number of miles driven and let $y$ denote the total cost, in dollars.. The linear equation is $y = 68.22 + 0.25 x$

a. Find the y-intercept and slope of the specified linear equation.
b. Explain what the y-intercept and slope represent in terms of the graph of the equation.
c. Explain what the y-intercept and slope represent in terms relating to the application.

Step-by-Step Solution

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Answer

Part(a) The y-intercept is $68.22$ and slope is $0.25$

Part(b) The y-intercept is the y-value where the line intersects the y-axis. The slope indicates that the y-value increases by how much units for every increase in $x$ of $1$ unit.

Part(c) The slope and y-intercept denotes the number of miles driven and the total cost, in dollars.

1Part(a) Step 1 : Given information

We are given an equation of Rental-Car costs. we have to explain what are slope and y-intercept of equation.

2Part(a) Step 2 : Simplify

Given Equation $y = 68.22 + 0.25 x$

y-intercept $b_{0} = 68.22$

Slope $b_{1} = 0.25$

3Part(b) Step 1 : Given information

We are given an equation of Rental-Car costs. we have to explain what does slope and y-intercept in equation represents.

4Part(b) Step 2 : Simplify

The y-intercept $b_{0} = 68.22$ is the y-value where the line intersects the y-axis. The slope $b_{1} = 0.25$ indicates that the y-value increases by $0.25$ units for every increase in $x$ of $1$ unit.