At a certain car rental agency a compact car rents for $40 a day and 20¢ a mile.
(a) How much does it cost to rent a car for 5 days if the car is driven 330 mi?
$
Incorrect: Your answer is incorrect.
(b) Find a formula that models the cost C (in dollars) of renting this car for n days if it is driven m miles.
C =
(c) If the cost for a 5-day rental was $296, how many miles was the car driven?
mi
(a) To calculate the cost of renting a car for 5 days driven 330 miles, we need to calculate the cost for both the days and the mileage separately, then add them together.
Cost for days = $40 per day * 5 days = $200
Cost for mileage = 20¢ per mile * 330 miles = $66
Total cost = Cost for days + Cost for mileage = $200 + $66 = $266
Therefore, it would cost $266 to rent the car for 5 days if driven 330 miles.
(b) To find a formula that models the cost C (in dollars) of renting this car for n days if it is driven m miles, we can break it down as follows:
Cost for days = $40 per day * n days = 40n
Cost for mileage = 20¢ per mile * m miles = 0.20m
Total cost = Cost for days + Cost for mileage = 40n + 0.20m
Therefore, the formula that models the cost C would be: C = 40n + 0.20m.
(c) If the cost for a 5-day rental was $296, we can plug in the values into the formula to find the number of miles driven:
296 = 40 * 5 + 0.20m
296 = 200 + 0.20m
0.20m = 296 - 200
0.20m = 96
m = 96 / 0.20
m = 480
Therefore, the car was driven 480 miles for a 5-day rental costing $296.
c = 40 * n + 0.20 * m <--- part b
if n = 5 and m = 330
c = 40 * 5 + 0.20 * 330
c = 200 + 66 = $266 <-- part a
296 = 200 + 0.20 m
96 = 0.20 m
m = 960/2 = 480 miles <---- part c