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anonymous

  • 4 years ago

For a ground temperature of 15 degree Celsius, the air temperature (t) at an altitude of 500m (h) is 10 degree Celsius. At 2000 m, the air temperature is -5 degree Celsius. Use the ordered pairs (h,t). a. Find a linear equation for these data points. b. Use this linear equation to find the air temperature at 1500m.

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  1. anonymous
    • 4 years ago
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    y=mx+b

  2. Mertsj
    • 4 years ago
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    You have been given two ordered pairs: (500,10) and (2000,-5) Can you find the slope of this line?

  3. anonymous
    • 4 years ago
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    No I also need help with that.

  4. Mertsj
    • 4 years ago
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    Subtract the second numbers of the ordered pairs: 10-(-5)=15 Subtract the first numbers of the ordered pairs: (500-2000)=-1500 Put the first number over the second: 15/-1500 =-1/100 That is the slope.

  5. Mertsj
    • 4 years ago
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    Now substitute the slope and one of the ordered pairs into y = mx + b and find b. Then you will have the equation of your line.

  6. Mertsj
    • 4 years ago
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    Can you do that?

  7. anonymous
    • 4 years ago
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    im doing it now hang on please

  8. anonymous
    • 4 years ago
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    ok

  9. Mertsj
    • 4 years ago
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    What did you get for b?

  10. anonymous
    • 4 years ago
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    wait, I think I did something wrong lemmy double check.

  11. Mertsj
    • 4 years ago
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    double check granted.

  12. anonymous
    • 4 years ago
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    can you pick either one (15/-1500) or (-1/100) as the x and the y?

  13. Mertsj
    • 4 years ago
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    -1/100 is m, the slope. For x and y you may use either ordered pair you choose.

  14. anonymous
    • 4 years ago
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    I got -15 = (1500)(-1/100) + b

  15. Mertsj
    • 4 years ago
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    \[10=\frac{-1}{100}(500)+b\] \[10=-5+b\] \[15=b\]

  16. Mertsj
    • 4 years ago
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    Solve for b

  17. anonymous
    • 4 years ago
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    oh I see now. Thank you for being patient with me.

  18. Mertsj
    • 4 years ago
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    \[y=\frac{-1}{100}x+15\]

  19. Mertsj
    • 4 years ago
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    yw

  20. Mertsj
    • 4 years ago
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    Now replace x with 1500 to find the temperature at 1500 m

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