Question

a family wants to rent a car to go on vacation. company A charges $45.50 and 11 cents per mile. company B charges $60.50 and 14 cents per pile. how much more does company B charge for x miles than company A

Answer 1

Step-by-step explanation:

Company A charges $45.50 flat rate and 11 cents per mile

Company B charges $60.50 flat rate and 14 cents per mile

Let the number of miles be x

Total charge for company A is written below mathematically

C = 45.50 + 0.11 * x

C = 45.50 + 0.11x ----------------- equation 1

For Company B

C = 60.50 + 0.14 * x

C = 60.50 + 0.14x ------------- equation 2

To find the value of x, equate equation 1 and 2 together

60.50 - 45.50 = 0.14x - 0.11x

Collect the like terms

60.50 - 45.50 = 0.14x - 0.11x

15 = 0.03x

Divide both sides by 0.03

15/0.03 = 0.03x/0.03

x = 500 miles

Since, Company A charges 45.50 + 0.11x

C = 45.50 + 0.11(500)

C = 45.50 + 55

C = $100.5

Company B

C = 60.50 + 0.14(500)

C = 60.50 + 70

C= $130.5

CompanyB - company A

$130.5 - $100.5

= $30

Therefore, Company B charges $30 more that company A