Question

Grace is planning a move to a different city. She contacts two local rental companies and obtains the following information for the one-day cost of renting a truck: Company A: $40.95 per day plus $0.19 per mile. Company B: $19.95 per day plus $0.49 per mile. Let n represent the total number of miles driven in one day. Write an inequality that can be used to determine for what number of miles it is less expensive to rent the truck from Company B.

a. 19.95+0.19n<40.95+0.49n

b. 19.95+0.19n>40.95+0.49n

c. 19.95+0.49n<40.95+0.19n

d. 19.95+0.49n>40.95+0.19n

Answer 1

To determine for what number of miles it is less expensive to rent from Company B, the correct inequality is 19.95 + 0.49n < 40.95 + 0.19n.

Step-by-step explanation:

The student is asking for help with an inequality problem concerning the cost of truck rentals from two different companies, specifically Company A and Company B. To determine for what number of miles (represented by n) it would be less expensive to rent a truck from Company B than from Company A, we need to compare the total cost equations from both companies and create an inequality. Company A charges $40.95 per day plus $0.19 per mile, and Company B charges $19.95 per day plus $0.49 per mile. We express the costs as an inequality to find when Company B is cheaper: 19.95 + 0.49n < 40.95 + 0.19n. This answers Grace's question regarding the cost-effectiveness of rentals based on mileage.