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A passenger jet passed through an altitude of 14,000 feet 8 minutes after takeoff and was...

A passenger jet passed through an altitude of 14,000 feet 8 minutes after takeoff and was climbing at a rate of 1,250 feet per minute. Find a linear model for the altitude A (in ft) of the jet t minutes after takeoff.

A =

Use your model to predict the altitude (in ft) of the jet 28 minutes into the flight.

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Answer #1

Since the plane reached 14000 ft in 8 minutes but climbs at a rate of 1250 ft per minute. Thus, the plane was at 4000 ft before the flight takeoff.

Hence, A=1250t+4000

Putting t=28 we get A=39000 ft

Hence after 28 minutes, the jet is flying at 39000ft.

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