A car has 16 gallons of gasoline in its tank when it starts it's journey. On a long highway trip, gasoline is used at a rate of about 2 gallons per hour. The gallons of gas, "g", remaining in the car’s tank after "t" hours can be modeled by the function:

Question

A car has 16 gallons of gasoline in its tank when it starts it's journey. On a long highway trip, gasoline is used at a rate of about 2 gallons per hour. The gallons of gas, "g", remaining in the car’s tank after "t" hours can be modeled by the function:

g( t ) = 16 – 2t

Answer 1

To find the gallons of gas remaining in the car's tank after a specific number of hours, we can substitute the value of "t" into the equation g(t) = 16 - 2t.

For example, if we want to find out how much gas is remaining after 5 hours, we would substitute t = 5 into the equation:

g(5) = 16 - 2(5)
g(5) = 16 - 10
g(5) = 6

So, after 5 hours, there would be 6 gallons of gas remaining in the car's tank.

Similarly, you can find the gallons of gas remaining for any given number of hours by substituting the value of "t" into the equation g(t) = 16 - 2t.

A car has 16 gallons of gasoline in its tank when it starts it's journey. On a long highway trip, gasoline is used at a rate of about 2 gallons per hour. The gallons of gas, "g", remaining in the car’s tank after "t" hours can be modeled by the function:

correct

To find the gallons of gas remaining in the car's tank after a specific number of hours, we can substitute the value of "t" into the equation g(t) = 16 - 2t.