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# An airplane uses approximately 5 gallons of fuel per mile flown. If the plane has 60,000 gallons of fuel at the beginning of a trip and flies at an average speed of 550 miles per hour, which of the following functions estimates the amount of remaining fuel A (t), in gallons, t hours after the trip began?

## The correct answer is:

### let t hours be the time of flight . The average speed of the plane is 550 miles per hour

Step 1:- Find distance travelled in time t.

The distance travelled in time t = speed × time = 550 t (in miles )

Step 2:- Find the fuel consumed in time t .

Given the plane consumes 5 gallons of fuel every mile .

So ,the plane consumes 5 × 550 × t gallons of fuel for 550 × t miles in time t hours .

The fuel consumed in time = 5 × 550 × t = 2,750t gallons

Step 3:- calculate remaining amount of fuel A(t)

The initial amount of fuel = 60,000 gallons

The remaining fuel A(t) = Initial fuel - fuel consumed in time t.

A(t) = 60,000 - 2,750t (in gallons)

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