Question

A taxi service charges a flat fee of $\$1.25$ and $\$0.75$ per mile. If Henri has $\$14.00$, which of the following shows the number of miles he can afford to ride in the taxi?

Answer 1

Calculating the number of miles Henri can afford to ride in a taxi.

Step 1: Given information and assumptions.

Flat fee is $\$1.25$

The charge per mile is $\$0.75$

The total amount that Henri has $\$14.00$

The total cost of the taxi service is a flat fee and the total amount is based on the distance.

Let $x$ is the distance that Henri can afford to travel.

Step 2: Framing an equation for the total fare.

The total fare for traveling $x$ miles will be$=1.25+0.75x$

Also, the total amount that Henri has is $\$14.00$.

So,

$\Rightarrow 1.25+0.75x=14$

Step 3: Solving the above equation to find $x$,

$$\begin{gathered} \Rightarrow 1.25+0.75x=14 \\ \Rightarrow 0.75x=14-1.25 \\ \Rightarrow 0.75x=12.75 \\ \Rightarrow x=\frac{12.75}{0.75} \\ \Rightarrow x=17 \end{gathered}$$

Hence, Henri can afford to travel $17miles$.