A taxi ride cost $29.40. The driver charged $3 plus $2 per mile traveled. How far did the taxi travel on this trip?

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A taxi ride cost $29.40. The driver charged $3 plus $2 per mile traveled. How far did the taxi travel on this trip?

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Answer 1 · 2016-11-16T19:24:07

On this trip the taxi traveled 13.2 miles.

Explanation:

The total cost of a taxi ride can be calculated as:

$T = b + (c \cdot d)$ $T = b + (c*d)$ where $T$ $T$ is the total cost, $b$ $b$ is the base fee, $c$ $c$ is the cost per mile and $d$ $d$ is the distance traveled in miles.

We can substitute what we were given (total cost of $29.40, base fee of $3 and cost per mile of $2) and solve for $d$ $d$ the distance traveled while keeping the equation balanced:

$29.40 = 3 + (2 \cdot d)$ $29.40 = 3 + (2*d)$

$29.40 - 3 = 3 + (2 \cdot d) - 3$ $29.40 - 3 = 3 + (2*d) - 3$

$26.40 = 2 \cdot d$ $26.40 = 2*d$

$\frac{26.40}{2} = \frac{2 \cdot d}{2}$ $26.40/2 = (2*d)/2$

$13.2 = 1 \cdot d$ $13.2 = 1*d$

$d = 13.2$ $d = 13.2$

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A taxi ride cost $29.40. The driver charged $3 plus $2 per mile traveled. How far did the taxi travel on this trip?

1 Answer

Explanation:

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