Question

Juan is hiking up a mountain starting at an elevation of 800 800 feet. Every hour, he is 2000 2000 feet higher in elevation.

Which function, h(t), where t time in hours, represents Juan's Height over time.

h(t)=2000t
h(t)800t+2000
h(t)=2800t
h(t)2000t+800

Answer 1

The final one would be correct. You start with the initial value of 800 and move upward 2,000 each hour he spends climbing.

Answer 2

Option d. h(t) = 2000t + 800

Explanation:

Juan is hiking up a mountain starting at an elevation of 800 feet.

Every hour he gains an elevation of 2000 feet.

So we have to find a function for h(t) where is the time and h is the height.

Since Juan gains height in 1 hour = 2000 ft.

therefore, height gained in t hours = 2000 ft.

He started hiking from 800 ft so total height after t hours will be 2000t + 800

In the form of a function h(t) = 2000t + 800

Option d. is the answer.