Answer
$25.98\;gal$.
Work Step by Step
Given values are
Distance $d_1=495\;mi$.
Amount of gasoline $g_1=14.1\;gal$.
Distance $d_2=912\;mi$.
Amount of gasoline $g_2$.
Let the rate is
$r=\frac{d}{g}$
rate is same.
$r=\frac{d_1}{g_1}=\frac{d_2}{g_2}$
Substitute all the values.
$\Rightarrow \frac{495\;mi}{14.1\;gal}=\frac{912\;mi}{g_2}$
Simplify.
$\Rightarrow (912\;mi)(\frac{14.1\;gal}{495\;mi})=g_2$
$\Rightarrow 25.98\;gal=g_2$.
