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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

Respuesta :

Answer:

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

Step-by-step explanation:

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

[tex]h(t)=1157-16\ t[/tex]

Compute the value of t as follows:

[tex]h(t)=1157-16\ t[/tex]

[tex]200=1157-16t[/tex]

 [tex]16t=1157-200\\16t=957\\[/tex]

     [tex]t=59.8125\\t\approx60[/tex]

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

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