Question

A taxi service charges an initial $15 fee, plus $3 per mile driven. A. Write an equation to represent the situation. B. How much will it cost to travel 45 miles in the taxi?

Answer 1

a) you pay $15 no matter what and $3 per mile (which is a rate)
y=3x+15 where x is the amount of miles you drive and y is the total you pay

b) y=3(45)+15
y= 135 + 15
y= $150

Answer 2

A. Let x represent the number of miles and y represent the total price.

y=3x+15

B. Using the equation we just wrote, replace the x with 45.

y=3(45)+15


Now multiply 45 by 3.

y=135+15


And finally add together 135 and 15.

y=150

The total cost of a 45 mile taxi ride would be $150.00.