Question

view policies current attempt in progress for the function below, give the units for the average rate of change = \\(\frac{f(b) - f(a)}{b - a}\\). the number of gallons of gas in a car, \\( g = f(m) \\), is a function of the number of miles driven, \\( m \\). the units are

Explanation:

Step1: Identify units of numerator and denominator

The function \( g = f(m) \) has \( f(b)-f(a) \) representing the change in gallons (since \( f(m) \) is gallons) and \( b - a \) representing the change in miles (since \( m \) is miles).

Step2: Determine units of average rate of change

The average rate of change is \( \frac{\text{change in gallons}}{\text{change in miles}} \), so the units are gallons divided by miles, which is gallons per mile (or gallons/mile).

Answer:

gallons per mile (or gallons/mile)