Question

Write an expression that can be used to represent the number of miles Peter can travel in his car with the amount of gas left in his tanks.

Answer 1

`s = k \cdot \left((n)/(100) \right) \cdot m_(max)`

Explanation:

The number of miles is directly proportional to the amount of gas, then:

`s \propto m`

`s = k\cdot m`

Where the amount can be modelled as the product of the maximum amount of gas and the percentage of occupied capacity. Hence:

`s = k \cdot \left((n)/(100) \right) \cdot m_(max)`