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