High School

In the equation \( g = 13 - 0.3h \), where \( g \) represents the number of gallons and \( h \) represents time in hours, what could the number 13 represent?

1) The initial number of gallons in the tank
2) The rate at which gallons of gas decrease
3) The number of hours traveled
4) The number of gallons used per hour

Answer :

Final answer:

In the given linear equation, the number 13 represents the initial amount of gallons in the tank at the start (before any time has passed). Over time, the volume of gasoline decreases at a rate of 0.3 gallons per hour.

Explanation:

In the equation given, g = 13 - 0.3h, 'g' represents the number of gallons, and 'h' represents time in hours. The number 13 in this equation represents the initial number of gallons in the tank. This is because when the time 'h' is 0 (at the start), the equation reduces to g = 13, indicating there are initially 13 gallons in the tank before any time has passed. The 0.3 attached to the 'h' represents the number of gallons used per hour, showing how the quantity of the gasoline decreases over time.

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