A car's gas tank, which can hold 14 gallons of gas, contains 4 gallons of gas when the driver stops at a gas station to fill the tank. The gas pump dispenses gas at a rate of 5 gallons per minute. The equation g = 5t + 4 gives the number of gallons of gasoline g in the tank as a function of the pumping time t(in minutes).

Step-by-step explanation:

Since the expression for the amount of gas in the tank is given as

g = 5t + 4

we already know that g=14 which is the capacity of the tank

so let us put g=14 we have

14=5t+4

solving for t, which is the time taken to fill up the tank that already has 4 gal already we have

14=5t+4

14-4=5t

10=5t

t=10/5

t=2min

Therefore the time taken to fill the tank is 2minutes

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