A Rental car agency charges $220 per week plus $0.25 per mile. How many miles can you travel in one week for $405

Question

$220 per week plus $0.25 per mile to rent a car 

Answer 1

This can be modeled by a relatively straightforward linear equation.  Call the number of miles you travel m.  The total cost for one week is then:

 

220 + .25*m

 

If we want to spend a maximum of $405, then we just set this total equal to 405 to find out how many miles that implies:

 

220 + .25m = 405

Subtract 220 from each side:

 

.25m = 185

 

Multiply by 4 to get rid of the .25 coefficient on the m:

 

4*.25m = 185*4

m = 740

 

So you can travel 740 miles in one week for $405.