Question

Lana is flying home to Orlando from Los Angeles. Previously, the pilot announced a cruising altitude of 35,000 feet. Towards the end of the flight, the pilot announced the plane is beginning its descent, occuring at 2,500 feet per minute. A graph of the descent is shown.


If t represents the number of minutes since the airplane began descending, which of the following answer choices correctly gives the equation to represent the height, h(t), of the plane during descent? How long will it take the plane to land in Orlando?

Answer 1

Answer:

B. h(t) = -2500t + 35,000

Step-by-step explanation:

I. The spot points to (0, 35,000) (8, 15,000) and (14,0)

Find the function that gave the statement is true

When h(t) = -2500t + 35,000

If x = 0

h(0) = -2500(0) + 35,000

h(0) = 35,000 true

If x = 8

h(8) = -2500(8) + 35,000

      = -20,000 + 35,000

h(8) = 15,000 true

If x = 14

h(14) = -2500(14) + 35,000

       = -35,000 + 35,000

h(14) = 0 true

That makes h(t) = -2500t + 35,000 is the right answer.

Hope that help :)