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anonymous

  • one year ago

The table below represents the atmospheric temperature at a location as a function of the altitude:

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  1. anonymous
    • one year ago
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    The average rate of change of the function between x = 15 to x = 25 is ___degrees Celsius per thousand feet and represents the rate of change of temperature per thousand feet.

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  2. anonymous
    • one year ago
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    please help

  3. kropot72
    • one year ago
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    Have you made a graph of f(x) against x ?

  4. anonymous
    • one year ago
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    yes

  5. anonymous
    • one year ago
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    i don't know if i got the answer right so i wanna make sure

  6. kropot72
    • one year ago
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    What is the shape of your graph?

  7. anonymous
    • one year ago
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    The shape?

  8. kropot72
    • one year ago
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    Is the graph a curve for example?

  9. anonymous
    • one year ago
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    oh ok

  10. anonymous
    • one year ago
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    1 sec

  11. anonymous
    • one year ago
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    The points were (15,4), (20,-6), (25, -16)

  12. anonymous
    • one year ago
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    plz help @kropot72

  13. kropot72
    • one year ago
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    When those points are plotted and joined, what is the shape of the graph?

  14. anonymous
    • one year ago
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    it is a diagonal line

  15. anonymous
    • one year ago
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    its stright

  16. anonymous
    • one year ago
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  17. anonymous
    • one year ago
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    like this

  18. kropot72
    • one year ago
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    Correct, it is a straight line with a negative slope. Therefore the calculation of the average rate of change of temperature with altitude is very simple: \[-(\frac{change\ of\ temp.}{change\ of\ altitude})\]

  19. anonymous
    • one year ago
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    ok

  20. anonymous
    • one year ago
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    so would it be -2?

  21. kropot72
    • one year ago
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    Correct, -2 deg. Celsius / thousand feet.

  22. anonymous
    • one year ago
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    thanks

  23. kropot72
    • one year ago
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    You're welcome :)

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