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 rentalcost of $45 per dayUsing x for the number of days and y for the total cost in dollars, construct a linear function to model therelationship between the number of days and the total cost of renting a mid-size car.

Answer:[tex]y=45x+40[/tex]Step-by-step explanation:Letx -----> the number of daysy ----> the total cost in dollars,we know thatThe equation of a linear function in slope intercept form is equal to[tex]y=mx+b[/tex]wherem is the slope o rate of the linear equationb is the y-coordinate of the y-interceptRemember that the y-intercept is the value of y when the value of x is equal to zeroIn this problem we haveThe slope is equal to the rental cost per dayso[tex]m=45\frac{\$}{day}[/tex]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[tex]b=\$40[/tex]substitute the values[tex]y=45x+40[/tex]