Question

1. (proportional relationship) a vehicle uses $1\\ 1/8$ gallons of gasoline to travel $13\\ 1/2$ miles. at this rate, how many miles can the vehicle travel per gallon of gasoline?

\bigcirc\\ 16/243
\bigcirc\\ 4/3
\bigcirc\\ 12
\bigcirc\\ 13

Explanation:

Step1: Convert mixed numbers to fractions

$1\frac{1}{8} = \frac{9}{8}$ gallons, $13\frac{1}{2} = \frac{27}{2}$ miles

Step2: Calculate miles per gallon

$\text{Miles per gallon} = \frac{\text{Miles}}{\text{Gallons}} = \frac{27/2}{9/8} = \frac{27}{2} \times \frac{8}{9} = 12$

Answer:

12