anonymous
  • anonymous
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.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
y=mx+b
Mertsj
  • Mertsj
You have been given two ordered pairs: (500,10) and (2000,-5) Can you find the slope of this line?
anonymous
  • anonymous
No I also need help with that.

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Mertsj
  • Mertsj
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.
Mertsj
  • Mertsj
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.
Mertsj
  • Mertsj
Can you do that?
anonymous
  • anonymous
im doing it now hang on please
anonymous
  • anonymous
ok
Mertsj
  • Mertsj
What did you get for b?
anonymous
  • anonymous
wait, I think I did something wrong lemmy double check.
Mertsj
  • Mertsj
double check granted.
anonymous
  • anonymous
can you pick either one (15/-1500) or (-1/100) as the x and the y?
Mertsj
  • Mertsj
-1/100 is m, the slope. For x and y you may use either ordered pair you choose.
anonymous
  • anonymous
I got -15 = (1500)(-1/100) + b
Mertsj
  • Mertsj
\[10=\frac{-1}{100}(500)+b\] \[10=-5+b\] \[15=b\]
Mertsj
  • Mertsj
Solve for b
anonymous
  • anonymous
oh I see now. Thank you for being patient with me.
Mertsj
  • Mertsj
\[y=\frac{-1}{100}x+15\]
Mertsj
  • Mertsj
yw
Mertsj
  • Mertsj
Now replace x with 1500 to find the temperature at 1500 m

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