Write a function rule for the total bill What would be the bill for a 7 day rental?

A car rental agency charges ​$33 per day to rent a car and ​$14.95 per day for a global positioning system​ (GPS). Customers are charged for their full tank of gas at ​$4.10 per gallon. A car has a 13 gallon tank and a GPS.
​a) Write a function rule for the total bill b as a function of the days d the car is rented.
​b) What is the bill for a 7 day​ rental?

1 Answer
Mar 23, 2018

a) #f(d) = $47.95d + $53.3#

b) #$388.95#

Explanation:

Let, Total Bill #b = f(d)#; If you take the car in rent for #d# days.

So, The Car Rent Cost = #$33 * d = $33d#

The GPS Rent Cost = #$14.95 * d = $14.95d#

The car contains a #13# gallon tank, and the cost of fuel per gallon is #$4.10#.

So, The cost for fuelling = #13 * $4.10 = $53.3#

According To The sum,

#color(white)(xx)b = $ 33d + $14.95d + $53.3 = $47.95d + $53.3#

#rArr f(d) = $47.95d + $53.3# [Got the Function]

Now The Cost For 7 days rental :-

#f(7) = $47.95 * 7 + $53.3 = $388.95#

Hence Explained.