Question

zahra is driving on a long road trip. she wrote an equation to represent how many gallons of gas she has left in her tank, $g = 6.5 - 0.4h$, where $g$ represents the number of gallons and $h$ represents time in hours. what is the meaning of the $g$-value when $h = 1$?
answer
the number of gallons in the tank after one hour.
how long it takes zahra to run out of gas.
the number of gallons in the tank when the trip ends.
the number of gallons of gas initially in the tank.
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Explanation:

We have the equation \( g = 6.5 - 0.4h \), where \( g \) is the gallons of gas left and \( h \) is time in hours. When \( h = 1 \), we are substituting \( h \) with 1 hour. So we are finding the value of \( g \) (gallons left) after 1 hour of driving. Let's analyze each option:

• "The number of gallons in the tank after one hour": This matches because \( h = 1 \) represents 1 hour, and \( g \) is gallons left after \( h \) hours.
• "How long it takes Zahra to run out of gas": This would be when \( g = 0 \), not when \( h = 1 \), so this is incorrect.
• "The number of gallons in the tank when the trip ends": We don't know when the trip ends from this, and \( h = 1 \) is just 1 hour, not the end of the trip, so incorrect.
• "The number of gallons of gas initially in the tank": Initially, \( h = 0 \), so \( g = 6.5 - 0.4(0)=6.5 \), which is the initial gallons, not when \( h = 1 \), so incorrect.

Answer:

A. The number of gallons in the tank after one hour.