Question

A taxi service charges an initial fee of $2.15 then charges $1.68 a mile. Write a linear equation to
model this situation.
Answers:

Y = 1.68x + 2.15

Y = 2.15x + 1.68

C = 1.68x + 2.15y

C = 2.15x + 1.68y

Answer 1

To model the situation where a taxi service charges an initial fee and then a per-mile fee, we can define the variables as follows:

- Let \( Y \) be the total cost of the taxi ride.
- Let \( x \) be the number of miles traveled.

The total cost \( Y \) consists of the initial fee of $2.15 plus the charge of $1.68 per mile. Therefore, the linear equation representing this situation is:

\[
Y = 1.68x + 2.15
\]

So the correct answer is:

**Y = 1.68x + 2.15**