Question

5.6 linear functions in the real world
eric has a small atv that gets 20 mile per gallon of gasoline. the atv has a 4 gallon gas tank that is full.
what is the rate of change or the slope in this situation?
the rate of change or the slope (m) is gallons of gas in the tank over time.
the rate of change or the slope (m) is miles traveled.
the rate of change or the slope (m) is miles per gallon of gas
the rate of change or the slope (m) is how much gas is in the tank at the beginning.

Explanation:

Step1: Recall slope - rate of change concept

The slope in a real - world context of distance and fuel is the change in the dependent variable (gallons of gas in the tank) with respect to the independent variable (miles traveled).
As the ATV travels, the amount of gas in the tank decreases. The rate at which the gas is consumed is given by the miles per gallon. Here, for every mile traveled, the amount of gas in the tank changes. The rate of change (slope) represents the change in gallons of gas in the tank per mile traveled. In other words, it is the negative of the miles per gallon (since the gas in the tank is decreasing). But the general concept of the rate of change in this context is miles per gallon of gas.

Answer:

The rate of change or the slope (m) is miles per gallon of gas