Question

27. A man is climbing down from 225 feet high descending 25 feet per minute. Write an

equation/function that models this situation.

Answer 1

Let's define the following variables:

h : the height of the man above the ground at time t in minutes (in feet).
t : time elapsed since the man started descending (in minutes).
At the start of the descent, the man is at a height of 225 feet above the ground, so we can set the initial condition h(0) = 225.

As the man is descending at a rate of 25 feet per minute, the rate of change of h with respect to t is -25.

Therefore, the equation that models this situation is:

h(t) = 225 - 25t

This equation gives the height of the man at any time t during the descent.