Title: Interpreting Derivatives Task Question
Course: Calculus Videos Project > Section: Interpreting Derivatives

Q: Courtney is going on a road trip. The function measures the amount of fuel Courney's car has consumed (in gallons) where is measured in hours since Courtney has left her hometown. Which statement best explains the meaning of ?
- Five hours since Courtney left her hometown, Courtney's car has consumed 2.5 gallons of fuel.
- 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.
- 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.
- 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.
- 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.
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.