Arental 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.

Step-by-step 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

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

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

substitute the values