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See attached graphs A helicopter takes off from the roof of a building that is 200 feet above the ground. The altitude of the helicopter increases by 150 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.) A =        (b) Express using functional notation the altitude of the helicopter 90 seconds after takeoff. A(  ) Calculate that value. (Round your answer to the nearest foot.)  ft (c) Make a graph of altitude versus time covering the first 3 minutes of the flight. Explain how the description of the function is reflected in the shape of the graph. The altitude changes at a constant rate, and this is reflected in the fact that the graph is a straight line. The altitude decreases at an increasing rate, and this is reflected in the fact that the graph is concave up. The altitude increases at a decreasing rate, and this is reflected in the fact that the graph is concave down. The altitude does not change, and this is reflected in the fact that the graph is a straight line.

See attached graphs A helicopter takes off from the roof of a building that is 200 feet above the ground. The altitude of the helicopter increases by 150 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.) A =        (b) Express using functional notation the altitude of the helicopter 90 seconds after takeoff. A(  ) Calculate that value. (Round your answer to the nearest foot.)  ft (c) Make a graph of altitude versus time covering the first 3 minutes of the flight. Explain how the description of the function is reflected in the shape of the graph. The altitude changes at a constant rate, and this is reflected in the fact that the graph is a straight line. The altitude decreases at an increasing rate, and this is reflected in the fact that the graph is concave up. The altitude increases at a decreasing rate, and this is reflected in the fact that the graph is concave down. The altitude does not change, and this is reflected in the fact that the graph is a straight line.

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A helicopter takes off from the roof of a building that is 200 feet above the ground. The altitude of the helicopter increases by 150 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.)
A = 
 
 
 
(b) Express using functional notation the altitude of the helicopter 90 seconds after takeoff.
A(  )

Calculate that value. (Round your answer to the nearest foot.)
 ft

(c) Make a graph of altitude versus time covering the first 3 minutes of the flight.

Explain how the description of the function is reflected in the shape of the graph.
The altitude changes at a constant rate, and this is reflected in the fact that the graph is a straight line.
The altitude decreases at an increasing rate, and this is reflected in the fact that the graph is concave up.
The altitude increases at a decreasing rate, and this is reflected in the fact that the graph is concave down.
The altitude does not change, and this is reflected in the fact that the graph is a straight line.
Expert Solution
Step 1

(a)Initially helicopter is at the height of 200 feet

Altitude of the helicopter increases by 150 feet each minute

Let t is the number of minutes since the helicopter take off

Altitude=initial height+number of minutes after take off *rate of increase in amplitude

h=200+ t×150

Hence the height hof helicopter tminutes after its takeoff is

h=200+150t

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