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 0.19 n greater-than 40.95 0.49 n
b. 19.95 0.19 n less-than 40.95 0.49 n
c. 19.95 0.49 n less-than 40.95 0.19 n
d. 19.95 0.49 n greater-than 40.95 0.19 n

Answer 1

To determine for what number of miles it is less expensive to rent the truck from company B, set up an inequality comparing the costs of both companies.

Step-by-step explanation:

To determine for what number of miles it is less expensive to rent the truck from company B, we need to compare the costs of both companies. Let's denote the total number of miles driven in one day as n.

For company A, the cost is $40.95 per day plus $0.19 per mile, so the total cost is given by: 40.95 + 0.19n.

For company B, the cost is $19.95 per day plus $0.49 per mile, so the total cost is given by: 19.95 + 0.49n.

To find when it is less expensive to rent from company B, we need to set up an inequality where the cost from company B is less than the cost from company A:

19.95 + 0.49n < 40.95 + 0.19n

This inequality represents the number of miles (n) for which it is less expensive to rent the truck from company B.