Question

A truck Can be rented from company A for $60 a day plus $0.30 per mile. Company B charges $40 a day plus $0.70 per mile to rent the same truck. How many miles must be driven in a day to make the rental cost for company A a better deal than company B’s?

Answer 1

Let's represent the number of miles driven in a day by "m".

The cost of renting from company A can be represented by the equation:
Cost_A = 60 + 0.3m

The cost of renting from company B can be represented by the equation:
Cost_B = 40 + 0.7m

To find out how many miles must be driven in a day to make the rental cost for company A a better deal than company B's, we need to set the two equations equal to each other and solve for "m":

60 + 0.3m = 40 + 0.7m

Simplifying the equation, we get:

20 = 0.4m

Dividing both sides by 0.4, we get:

m = 50

Therefore, if the number of miles driven in a day is greater than 50, it would be more cost-effective to rent from company A. If the number of miles driven is less than 50, it would be more cost-effective to rent from company B.