Determine the constant of variation for the stated condition.
-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 30 gallons of fuel. Find the number of gallons of fuel that the helicopter uses to fly for 3 hours.
A) 45 gallons
B) 6 gallons
C) 48 gallons
D) 60 gallons

Question

Quizplus · Accepted Answer

The constant of variation (k) can be found using the formula y = kx, where y is the total amount of gas used, and x is the number of hours spent flying. Given that the helicopter uses 30 gallons of fuel in 2 hours, we find k = 30/2 = 15 gallons per hour. For 3 hours of flying, the fuel used would be 15 gallons/hour * 3 hours = 45 gallons.

Determine the Constant of Variation for the Stated Condition