Question

When it comes to reimbursement packages, company a offers $175 plus $0.55 per mile. company b offers $200 plus $0.45 per mile. what number of miles driven would make the two reimbursement packages equal?

Answer 1

For this case we have the following equations:
 y = 0.55x + 175
 y = 0.45x + 200
 We equate both equations:
 0.55x + 175 = 0.45x + 200
 We clear the value of x:
 0.55x - 0.45x = 200 - 175
 0.10x = 25
 x = 250 miles
 Answer:
 A number of thousands driven that would make the two reimbursement packages equal is:
 x = 250 miles