Ayden filled up his car with gas before embarking on a road trip across the country. The car uses 2 gallons of gas for every hour driven, and after driving for 4 hours, there were 4 gallons of gas left in the tank. Write an equation for G, commaG, in terms of t, commat, representing the number of gallons of gas remaining in Ayden's gas tank after tt hours of driving.
The car uses 2 gallons of gas for every hour driven. After driving for 4 hours, there were 4 gallons of gas left in the tank.
We can write an equation for the number of gallons of gas remaining, G, in terms of t, representing the number of hours driven.
Since the car uses 2 gallons of gas for every hour driven, after driving for t hours, the car would have used 2t gallons of gas.
Given that there were 4 gallons of gas left in the tank after 4 hours of driving, we can write the equation as:
G = (Total gas in tank) - (Gas used)
G = (Initial gas in tank) - (2t)
Since Ayden filled up his car with gas before embarking on the road trip, the initial gas in the tank is the total capacity of the gas tank. Let's denote it as T.
Therefore, the equation for G, in terms of t, is:
G = T - 2t