Question

Question 2 of 4

Sylvia launches a bottle rocket into the air. The function h(t) = 1157 - 16t gives the height of the bottle rocket, in feet t seconds after
it is launched. Using a table or graph, about how many seconds did it take for the bottle rocket to reach a height of 200 feet? Round your
answer to the nearest second
Your answer:
Seconds

Answer 1

The time it took for the bottle rocket to reach a height of 200 feet is 60 seconds.

Explanation:

The function for the height of the bottle rocket (in feet), t seconds after it is launched is:

`h(t)=1157-16\ t`

Compute the value of t as follows:

`h(t)=1157-16\ t`

`200=1157-16t`

`16t=1157-200\\16t=957\\`

`t=59.8125\\t\approx60`

Thus, the time it took for the bottle rocket to reach a height of 200 feet is 60 seconds.