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thandosucksatmath

  • 2 years ago

A hot air balloon is launched at kirby park, and it ascends at the rate of 7200 feet per hour. At the same time, a second hot air balloon is launched at newman park, and it ascends at a rate of 4,000 feet per hour. Both of the balloons stop ascending after 30 minutes. Kirby park has an altitude of 1,705 ft while newman park has an altitude of 3,940 ft. Are the balloons ever at the same height at the same time? explain

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  1. Leemah!
    • 2 years ago
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    Find the height of both balloons and compare So for both altitude + (speed of ascent x time)

  2. Leemah!
    • 2 years ago
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    time = 1/2 or .5 since it is half an hour

  3. thandosucksatmath
    • 2 years ago
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    wait, what's the altitude?

  4. thandosucksatmath
    • 2 years ago
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    oh never mind.

  5. Leemah!
    • 2 years ago
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    Kirby park is at 1705 Newman park is at 3940 it's in the problem

  6. thandosucksatmath
    • 2 years ago
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    so for kibry park, would it be 1705 x (7200 x.5) ?

  7. Leemah!
    • 2 years ago
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    Yes

  8. thandosucksatmath
    • 2 years ago
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    which is 3600 added to 7200, correct?

  9. thandosucksatmath
    • 2 years ago
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    i mean 1705*

  10. Leemah!
    • 2 years ago
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    1705 + 3600.

  11. thandosucksatmath
    • 2 years ago
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    5305

  12. Leemah!
    • 2 years ago
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    Now do the same for the other balloon and check if 5305 = x

  13. thandosucksatmath
    • 2 years ago
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    the height of that was is 5940 ft

  14. thandosucksatmath
    • 2 years ago
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    so what do i do after finding both the heights?

  15. Leemah!
    • 2 years ago
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    Ok, i just drew the graphs for both of them. Sorry for the delay. They both will have a max height of 5305 and 5940 at 30 minutes. I used slopes to determine if they will intersect. y=7200x + 1705 and y=4000x + 3940 They do not reach the same height within the 30 minutes. But will be at the same height after about 42 minutes.

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