Question

The amount of gas that a helicopter uses is directly proportional to the number of hours spent flying. the helicopter flies for 44 hours and uses 2828 gallons of fuel. find the number of gallons of fuel that the helicopter uses to fly for 55 hours.

Answer 1

The helicopter uses 35 gallons to fly for 5 hours.

Step-by-step explanation:

The amount of gas that a helicopter uses for flying varies directly proportional to the number of hours spent flying.

g ∝ T

where g represents amount of gas and T time of flight.

Then,

`\therefore (g_1)/(g_2)=(T_1)/(T_2)`

The helicopter files 4 hours and uses 28 gallons of fuel.

Here, g₁= 28 gallons, T₁=4 hours

g₂=?, T₂=5 hours.

`\therefore (g_1)/(g_2)=(T_1)/(T_2)`

`\Rightarrow (28)/(g_2)=(4)/(5)`

⇒28×5= g₂×4

⇒ g₂×4=28×5

`\Rightarrow g_2=(28* 5)/(4)`

`\Rightarrow g_2=35` gallons

The helicopter uses 35 gallons to fly for 5 hours.