Savannah filled up her car with gas before embarking on a road trip across the country. The car uses 1.25 gallons of gas for every hour driven and the capacity of the gas tank is 10 gallons. Write an equation for G, commaG, in terms of t, commat, representing the number of gallons of gas remaining in Savannah's gas tank after tt hours of driving.

To model the number of gallons of gas remaining in Savannah's gas tank after driving for \( t \) hours, let's break down the information:

- The car uses 1.25 gallons of gas per hour.
- The capacity of the gas tank is 10 gallons.

The amount of gas used after \( t \) hours is \( 1.25t \) gallons. Since the tank starts with 10 gallons, the number of gallons remaining after \( t \) hours of driving, denoted by \( G(t) \), is the initial amount of gas minus the amount used:

\[
G(t) = 10 - 1.25t
\]

This equation represents the number of gallons \( G \) of gas left after driving for \( t \) hours.

Would you like further details or have any questions?

Here are some related questions to explore further:

1. How many hours can Savannah drive before the gas tank is empty?
2. How much gas is left after driving for 4 hours?
3. What happens to the gas remaining if Savannah drives for 8 hours?
4. If Savannah starts with half a tank, how would the equation change?
5. How many miles can Savannah drive if her car averages 20 miles per gallon?

**Tip:** Always check the units in word problems to ensure consistency when setting up equations.

Savannah filled up her car with gas before embarking on a road trip across the country. The car uses 1.25 gallons of gas for every hour driven and the capacity of the gas tank is 10 gallons. Write an equation for G, in terms of t, representing the number of gallons of gas remaining in Savannah's gas tank after t hours of driving.

Understand how to create a linear equation representing gas consumption during a road trip. In this example, Savannah's car uses 1.25 gallons of gas per hour, starting with a 10-gallon tank. Learn how to solve for the remaining gas after driving for t hours. Suitable for students in Grades 6-8.

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