We know that, on average, the car travels 32miles/gallon on the highway. Considering that for each mile traveled, the car will consume 1 gallon of fuel, you can calculate how many miles it will travel, given a fuel quantity using cross multiplication:
1 gallon _____ 32 miles
10 gallons ___ x miles
Both sets of values must be at the same rate so that:
![(32)/(1)=(x)/(10)](https://img.qammunity.org/2023/formulas/mathematics/high-school/g4ea4wjn4b0za2j0zjqo65ujkkhwhbnblm.png)
From this expression, you can calculate the miles he can cover as follows:
![\begin{gathered} 10\cdot((32)/(1))=(10)/(10)x \\ 320=x \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/w7o5u2vicahlpr7wxgida291wa2gcdkomh.png)
The car can travel up to 320 miles with 10 gallons of fuel.