Question

Can someone help me with this math homework please!

Answer 1

Hi there!

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I believe your answer is:

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

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Here’s why:

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• As described in the question, the function
  `h(t)` models the total altitude of a hot air balloon over time.
• 't' represents the number of minutes that would be given.
• 
  `h(10)` 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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`\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}`

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

Answer 2

• 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.