# 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 Nov 16, 2016 On this trip the taxi traveled 13.2 miles. #### Explanation: The total cost of a taxi ride can be calculated as: $T = b + \left(c \cdot d\right)$where $T$is the total cost, $b$is the base fee, $c$is the cost per mile and $d$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 $d$ the distance traveled while keeping the equation balanced:

$29.40 = 3 + \left(2 \cdot d\right)$

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

$26.40 = 2 \cdot d$

$\frac{26.40}{2} = \frac{2 \cdot d}{2}$

$13.2 = 1 \cdot d$

$d = 13.2$