Question

a taxicab company charges $2.10 plus $0.80 per mile. cameron paid a fare of $11.70. write and solve an equation to find the number of miles she traveled.

Answer 1

2.10 + 0.80m = 11.70
0.80m = 11.70 - 2.10
0.80m = 9.60
m = 9.60 / 0.80
m = 12.....she traveled 12 miles

Answer 2

Given,

The fixed charges = $ 2.10

Additional charges per miles = $ 0.80,

Thus, the additional charges for x miles = 0.80x dollars,

So, the total charges for x miles = Fixed charges + additional charges

= 2.10 + 0.80x

According to the question,

2.10 + 0.80x = 11.70

Which is the required equation,

Subtract 2.10 from both sides,

0.80x = 9.6

Divide both sides buy 0.80

x = 12

Hence, she travelled 12 miles.