SOLUTION: It is 76 degrees F at the 6000-foot level of a mountain, and 49 degrees F at the 12000-foot level of a mountain. Write a linear equation to find the temperature T at an elsevation

Question 185353: It is 76 degrees F at the 6000-foot level of a mountain, and 49 degrees F at the 12000-foot level of a mountain. Write a linear equation to find the temperature T at an elsevation e on the mountain, where e is in thousands of feet.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
It is 76 degrees F at the 6000-foot level of a mountain, and 49 degrees
F at the 12000-foot level of a mountain.
Write a linear equation to find the temperature T at an elevation e on the
mountain, where e is in thousands of feet.:
:
Find the slope using the slope formula: m =
Assign the given values as follows
x1 = 6 (for 6000 ft); y1 = 76
x2 = 12(for 12000ft); y2 = 49
:
m = = =
;
Use the point slope equation y - y1 = m(x - x1) so create the equation
y - 76 = (x - 6)
y - 76 = x - (-27)
y - 76 = x + 27 + 76
y = x + 103; is the equation
Using e and T
T = e + 103
:
A graph would look like this:

where elevation is the horizontal and Temp is the vertical
;
Sorry for the initial screw-up here. Carl

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