Title: Interpreting Derivatives Task
Course: Calculus Videos Project Modules

Q: Courtney is going on a road trip. The function [Image: equation] measures the amount of fuel Courney's car has consumed (in gallons) where [Image: equation] is measured in hours since Courtney has left her hometown. Which statement best explains the meaning of [Image: equation]?
- Five hours since Courtney left her hometown, Courtney's car has consumed 2.5 gallons of fuel. (Incorrect)
- Over the five hours since leaving her hometown, the amount of fuel consumed by Courtney's car will increase by 2.5 gallons over the next hour. (Incorrect)
- Five hours after Courtney left her hometown, the amount of fuel consumed by Courtney's car will increase by 2.5 gallons over the next hour. (Incorrect)
- As time increases by a very small amount from 5 hours, the amount of fuel consumed by Courtney's car increases by 2.5 gallons over the next hour. (Correct)
- The instantaneous rate of change of the amount of fuel consumed with respect to time 5 hours since leaving her hometown is 2.5 gallons per hour. (Incorrect)
A: As time increases by a very small amount from 5 hours, the amount of fuel consumed by Courtney's car increases by 2.5 gallons over the next hour.