Question

jin took a taxi from his house to the airport. the taxi company charged a pick-up fee of $2.10 plus $4.75 per mile. the total fare was $116.10, not including the tip. which equation could be used to determine $m$, the number of miles in the taxi ride?
answer
$\bigcirc$ $116.1 = 4.75(2.1 + m)$
$\bigcirc$ $\frac{116.1-2.1}{4.75}=m$
$\bigcirc$ $4.75 + 2.1m = 116.1$
$\bigcirc$ $m = \frac{116.1-4.75}{2.1}$

Explanation:

Step1: Define total fare structure

Total fare = Pick-up fee + (Rate per mile × Miles)
Let total fare = $\$116.10$, pick-up fee = $\$2.10$, rate per mile = $\$4.75$, miles = $m$.
Expression: $116.10 = 2.10 + 4.75m$

Step2: Rearrange to solve for $m$

Subtract pick-up fee from both sides, then divide by rate per mile.
Expression: $\frac{116.1 - 2.1}{4.75} = m$

Answer:

$\boldsymbol{\frac{116.1 - 2.1}{4.75} = m}$