Question

Calculate the rate of change in the amount of gasoline in Todd’s motorbike after driving 150 miles, given that he initially had 6 gallons of gasoline and now has 3 gallons left. What is the slope or rate of change in gallons per mile?

Answer 1

The rate of change in the amount of gasoline in Todd’s motorbike after driving 150 miles is 0.02 gallons per mile.

Step-by-step explanation:

To calculate the rate of change in the amount of gasoline in Todd’s motorbike after driving 150 miles, we need to find the slope or rate of change in gallons per mile.

We can calculate the rate of change by finding the difference in the amount of gasoline before and after the trip, and dividing it by the distance traveled.

In this case, Todd initially had 6 gallons of gasoline and now has 3 gallons left after driving 150 miles. So the difference in the amount of gasoline is 6 - 3 = 3 gallons.

The rate of change in gallons per mile is then 3 gallons / 150 miles = 0.02 gallons per mile.