Beginning Algebra With Applications, Chapter 3, 3.2, Section 3.2, Problem 182

The fare, $F$ to be charged a customer by a taxi company is calculated using the formula $F = 1.50 + 0.95(m - 1)$, where $m$ is the number of miles traveled.

A passenger is charged $\$ 9.10$. Find the number of miles the customer was driven.

Solving for the number of miles $m$,


$
\begin{equation}
\begin{aligned}

F =& 1.5 + 0.95 (m-1)
&& \text{Given equation}
\\
\\
F =& 1.5 + 0.95 m - 0.95
&& \text{Apply Distributive Property}
\\
\\
F =& 0.55 + 0.95 m
&& \text{Simplify}
\\
\\
F - 0.55 =& 0.95 m
&& \text{Subtract } 0.55
\\
\\
\frac{F - 0.55}{0.95} =& m
&& \text{Divide by } 0.95
\\
\\
\frac{9.1- 0.55}{0.95} =& m
&& \text{Substitute } F = 9.1
\\
\\
m =& 9
&& \text{Simplify}

\end{aligned}
\end{equation}
$


The customer was driven 9 miles.