If y varies directly as x, find the direct variation equation for the situation.
-The amount of gas that a helicopter uses is directly proportional to the number of hours spent flying. The helicopter flies for 2 hours and uses 12 gallons of fuel. Find the number of gallons of fuel that the helicopter uses
To fly for 5 hours.
A) 30 gallons
B) 10 gallons
C) 36 gallons
D) 35 gallons

Question

Quizplus · Accepted Answer

The direct variation equation is $y = kx$, where $k$ is the constant of variation. Given that the helicopter uses 12 gallons of fuel for 2 hours of flying, we find $k$ by solving $12 = k \times 2$, giving $k = 6$. For 5 hours of flying, the fuel used is $y = 6 \times 5 = 30$ gallons.

If Y Varies Directly as X, Find the Direct Variation