Respuesta :

Wallind123

  • Here, 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.

  • On 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.

Hi there!  

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I believe your answer is:  

[tex]h(10) \text{- the altitude of the hot air balloon after 10 minutes.}\\\\\boxed{h(10)=60}[/tex]

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Here’s why:  

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  • As described in the question, the function [tex]h(t)[/tex] models the total altitude of a hot air balloon over time.
  • 't' represents the number of minutes that would be given.
  • [tex]h(10)[/tex] would be the total altitude over 10 minutes time.
  • To solve for the value, we would replace 't' with 10 and then evaluate.

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[tex]\boxed{\text{Evaluating the function...}}\\\\h(t) = 210 - 15t; \text{ } h(10)\\-------------\\\rightarrow h(10) = 210 - 15(10)\\\\\rightarrow h(10)=210 - 150\\\\\rightarrow \boxed{h(10) = 60}[/tex]

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Hope this helps you. I apologize if it’s incorrect.  

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