Help!! Please?

Question

A truck can be rented from Company A for ?$100100 a day plus ?$0.200.20 per mile. Company B charges ?$7070 a day plus ?$0.500.50 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

Let x be the number of miles in a day at which the rental costs for Company A and Company B are the same. For company A, the rental cost is

 

100 + 0.2 x

 

For company B, the rental cost is

 

70 + 0.5 x

 

Simply equate these two expressions and solve for x:

 

100 + 0.2 x = 70 + 0.5 x

 

30 = 0.3 x

 

100 = x.

 

The answer is 100 miles.

Answer 2

You can get started by setting up an equation where x equals the number of miles.

 

You are looking for the point where Company A = Company B

 

Or, 

 

$0.20x+$100=$0.50x+$70

 

Now you just need to simplify the equation and solve for x!