Question

The function h(t) = 210 - 15t models the altitude of a hot

air balloon over time t, in minutes.
Explain what h(10) means in the context of the real-world
scenario, and how to find its value.

Answer 1

Sample Response:

t represents time, which is the input of the function, so we know that 10 is the time in minutes. h(t) represents the altitude, which is the output of the function after time, t. So, we need to substitute 10 into 210 – 15t in place of t. Simplifying 210 – 15(10), we get that 60 is the altitude in feet. So, after 10 minutes, the hot air balloon is at 60 feet.

Answer 2

Answer: h = 60. in real life this would mean that after being in the air for 10 minutes in the hot air balloon the height (210) decreases by 15 each minute. the hot air balloon is decelerating at a rate of 15 each minute.