Question

Solving the linear equations variable on one side

Answer 1

The pick up fee is $2.50.

After each mile, $1.95 is added.

That is, after the first mile, we have;

$\begin{gathered} \text{Fe}e=\text{ 2.50 + 1.95(1)} \\ \text{After the second mile, we have;} \\ Fee=\text{ 2.50+1.95(2)} \end{gathered}$

Isaac total charge = $27.46;

Generally, let the number of miles driven by the taxi be x, then we have;

$1.95x+2.50=27.46$

Solving for the number of miles Isaac travelled, we have;

$\begin{gathered} 1.95x=27.46-2.50 \\ 1.95x=24.96 \\ x=\frac{24.96}{1.95} \\ x=12.8\text{miles} \end{gathered}$

CORRECT OPTION:

$1.95x+2.50=27.46;\text{ Isaac traveled 12.8 miles.}$