A rental car agency charges x dollars per day plus y dollars per mile to rent any of the mid-sized cars at the agency. The total costs for two customers are shown below.
Customer | Time (days) | Distance (miles) | Cost (dollars) |
Jackson | 3 | 150 | 217.50 |
Bree | 2 | 112 | 148.00 |
How much will it cost to rent a mid-sized car for 5 days and drive 250 miles? Explain.
Set up your chart as 2 simultaneous equations as follows:
3x + 150y = 217.50
2x + 112y =148, solve for x, y
x = $60 - charge per day
y =$0.25 - charge per mile
So, now that we know the daily charge and cost per mile, we can easily figure out the cost of renting a mid-sized car for 5 days and drive 250 miles as follows:
5x + 250y =
(5*$60) + (250 *$0.25) =
$300 + $62.50
=$362.50 - Cost of renting a car for 5 days and drive 250 miles.