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# A rental car agency charges x dollars per day plus y dollars per mile to rent

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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.

Apr 6, 2018

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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.

Apr 7, 2018
edited by Guest  Apr 7, 2018
edited by Guest  Apr 7, 2018