Question

For the first day Monday-Friday, the cost to rent a car at a local car rental company is $65. Every additional day Monday-Friday is $35. Each weekend day (Saturday and Sunday) is $45 per day.

The rate from renting cars from SHINE Car Rental Company (a different rental company than the first) is a flat rate of $45 per day. If Mr. Williams wants to rent a car for 1 week, which car rental company would be better to use? Explain your reasoning.

Answer 1

If Mr. Williams wants to rent a car for 1 week, then he must take it from the SHINE Car Rental Company.

Explanation:

For the first day Monday-Friday, the cost to rent a car at a local car rental company is $65. Every additional day Monday-Friday is $35. Each weekend day (Saturday and Sunday) is $45 per day.

Therefore, the total cost of rent a car for one week will be $(65 + 35 × 5 + 45 × 2) = $330.

Now, the rate of renting cars from SHINE Car Rental Company (a different rental company than the first) is a flat rate of $45 per day.

Therefore, the total cost of the rent a car for one week will be $(45 × 7) = $315.

Now, $330 > $315.

Therefore, if Mr. Williams wants to rent a car for 1 week, then he must take it from the SHINE Car Rental Company. (Answer)