SOLUTION: A helicopter takes off from the roof of a building that is 225 feet above the ground. The altitude of the helicopter increases by 200 feet each minute. (a) Use a formula to expres

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Question 1190266: A helicopter takes off from the roof of a building that is 225 feet above the ground. The altitude of the helicopter increases by 200 feet each minute.
(a) Use a formula to express the altitude of a helicopter as a function of time. (Let t be the time in minutes since takeoff and A the altitude in feet.)
225+200t I know already got this But, I'm struggling to understand do we plug in the 90 seconds on here? I'm simply lost.
(b) Express using functional notation the altitude of the helicopter 90 seconds after takeoff.
Calculate that value. (Round your answer to the nearest foot.)

Found 2 solutions by Solver92311, Alan3354:
Answer by Solver92311(821) About Me  (Show Source):
You can put this solution on YOUR website!


If your function is based on the rate of climb being 200 feet per minute, then the variable must represent minutes. 90 seconds is 1.5 minutes.

By the way your function should be:



Then calculate




John

My calculator said it, I believe it, that settles it

From
I > Ø

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A helicopter takes off from the roof of a building that is 225 feet above the ground. The altitude of the helicopter increases by 200 feet each minute.
(a) Use a formula to express the altitude of a helicopter as a function of time. (Let t be the time in minutes since takeoff and A the altitude in feet.)
225+200t I know already got this But, I'm struggling to understand do we plug in the 90 seconds on here? I'm simply lost.
-------------------
A = 225 + 200t is correct.
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(b) Express using functional notation the altitude of the helicopter 90 seconds after takeoff.
Calculate that value. (Round your answer to the nearest foot.)
90 seconds = 1.5 minutes
A = 225 + 200*1.5 = 525 feet