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

Answer:

$s = k \cdot \left(\frac{n}{100} \right) \cdot m_{max}$

Step-by-step 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:

$s = k \cdot \left(\frac{n}{100} \right) \cdot m_{max}$