Question

A truck can be rented from Company A for ​$100100 a day plus ​$0.300.30 per mile. Company B charges ​$7070 a day plus ​$0.600.60 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.

Answer 1

Answer: 100 miles

Explanation:

Hi to answer this question we have to write a system of equations.

To obtain the cost of company A (A) we have to add the fixed cost (100) and the product of the cost per mile (30) an the number of miles (d) .

A = 100+ 0.30d

Same for the cost of company B (B)

B= 70+ 0.60d

To find the number of miles in a day at which the rental costs for Company A and Company B are the same, both costs must be equal.

A =B

So

100+ 0.30d=70+ 0.60d

Solving for d

100-70 =0.60d-0.30d

30=0.30d

30/0.30=d

d= 100 miles