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.

Answer 1

Grace is evaluating the cost of truck rentals from two companies using algebra. By setting up linear equations for each company, she can compare costs based on the number of miles driven and choose the cheaper option.

Step-by-step explanation:

Grace is comparing the costs of renting a truck from two different companies, which leads us to a linear equation problem in algebra. 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. Let n represent the total number of miles driven in one day.

For Company A, the cost can be represented by the formula CA = 40.95 + 0.19n, and for Company B, it's CB = 19.95 + 0.49n. To decide which company offers the better deal for the distance Grace plans to drive, she needs to compare these two cost functions by plugging in different values for n (the number of miles) and observing which company's total cost is lower for the given mileage.