Question

A rental car company offers a rental package for a mid-size car.

The cost is comprised of a fixed $40 administrative fee for the cleaning and maintenance of the car plus a rental
cost of $45 per day
Using x for the number of days and y for the total cost in dollars, construct a linear function to model the
relationship between the number of days and the total cost of renting a mid-size car.

Answer 1

thx I needed this im doing a 100 Q test *sigh*

Answer 2

`y=45x+40`

Explanation:

Let

x -----> the number of days

y ----> the total cost in dollars,

we know that

The equation of a linear function in slope intercept form is equal to

`y=mx+b`

where

m is the slope o rate of the linear equation

b is the y-coordinate of the y-intercept

Remember that the y-intercept is the value of y when the value of x is equal to zero

In this problem we have

The slope is equal to the rental cost per day

so

`m=45(\$)/(day)`

When the number of days is equal to zero (x=0) the total cost is equal to $40 (administrative fee for the cleaning and maintenance of the car)

The y-intercept is the point (0,40)

so

`b=\$40`

substitute the values

`y=45x+40`