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Xin is driving on a long road trip. She wrote an equation to represent how many gallons of gas she has left in her tank: [tex]g = 13 - 0.3h[/tex], where [tex]g[/tex] represents the number of gallons and [tex]h[/tex] represents time in hours.

What could the number 13 represent in the equation?

A. The number of gallons of gas at time [tex]h = 0[/tex].
B. The number of gallons in the tank when the trip ends.
C. How long it takes Xin to run out of gas.
D. The change in the number of gallons of gas in the tank for every additional hour.

Answer :

Final answer:

The number 13 in the equation represents the initial amount of gasoline in Xin's tank, or the capacity of the gas tank, at the starting point of her trip.

Explanation:

The number 13 in the equation g=13-0.3h could represent the initial amount of gasoline in Xin's tank before she starts driving. When h, the time in hours, equals zero, g, the number of gallons of gas in the tank, would be at its maximum, which is 13 gallons.

Therefore, this number indicates the capacity of her gas tank or the number of gallons of gas at the starting point of her trip. It does not represent how long it will take Xin to run out of gas, which would be found by setting g to zero and solving for h, nor does it represent the change in gallons per hour, which is given by the coefficient of h, -0.3.

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Rewritten by : Barada