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Blake operates a hot air balloon business. The relationship between the height of the hot air balloon and the time spent to reach that height is given by the function H(t) = 100t where t is the number of minutes. Additionally, the relationship between the height of the hot air balloon and the atmospheric pressure, inHg, being applied to the balloon is given by the function P(H) = 29.9 - 0.5H 500 Which function can be used to determine the pressure on the hot air balloon based on the time it spends rising in height? A) t(P(H)) B) t(H(P)) 0) H(P(t)) D) P(H(-))

Blake operates a hot air balloon business The relationship between the height of the hot air balloon and the time spent to reach that height is given by the fun class=

Respuesta :

from the information provided, we have two functions as follows;

[tex]\begin{gathered} H(t)=100t \\ P(H)=29.9-0.5H \end{gathered}[/tex]

The first function shows the relationship between the height of the hot air balloon and the time pent to reach that height. The second one shows the relationship the height of the hot air balloon and the atmospheric pressure.

To determine the pressure on the hot air balloon based on the time it spends in rising in height, we would first determine the value of the function a the balloon rises into the air. This value would now be used to determine the presure on the hot air balloon.

The function that would give this value would be;

[tex]P(H(t))[/tex]

ANSWER:

The correct answer is option D

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