A car rental agency charges $35
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 $3.40
per gallon. A car has a 19
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 9 day rental?
cost(d) = 35d + 14.95d + 19(3.40)
= 49.95 d + 64.60
where d is the number of days
So for 9 days, replace d with 9 and evaluate.
a) To find the function rule for the total bill b as a function of the days d the car is rented, we need to consider the charges for the car rental, GPS rental, and gas.
The car rental charge is a flat rate of $35 per day. So, for d days, the car rental charge would be 35 * d.
The GPS rental charge is $14.95 per day. So, for d days, the GPS rental charge would be 14.95 * d.
For the gas charge, we need to determine the number of gallons needed to fill the car's tank. Since the car has a 19-gallon tank, we multiply this by the cost of gas per gallon, which is $3.40, to get the gas charge.
Combining the car rental charge, GPS rental charge, and gas charge, the function rule for the total bill b as a function of the days d can be expressed as:
b(d) = 35d + 14.95d + 3.40 * 19
b) Now we can calculate the bill for a 9-day rental by plugging in d = 9 into the function rule:
b(9) = 35 * 9 + 14.95 * 9 + 3.40 * 19
Simplifying this expression gives us:
b(9) = 315 + 134.55 + 64.6
b(9) = $514.15
Therefore, the bill for a 9-day rental would be $514.15.