SOLUTION: Scientists are studying the temperature on a distant planet. They find that the surface temperature at one location is 25°Celsius. They also find that the temperature decreases by
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Question 815230: Scientists are studying the temperature on a distant planet. They find that the surface temperature at one location is 25°Celsius. They also find that the temperature decreases by 5°Celsius for each kilometer you go up from the surface. Let represent the temperature (in Celsius), and let be the height above the surface (in kilometers). Write an equation relating to , and then graph your equation using the axes below.
Answer by FightinBlueHens(27) (Show Source): You can put this solution on YOUR website!
You didn't put what variables are in the problem for temperture and distance, so I will use t for the temperture, and d for distance.
We know that the temperture at the surface is 25 degreed C, and that the temperture decreases by 5 degrees C for each kilometer you go up.
This second term can be represented by -5d, where d is the distance in kilometers, and for each kilometer you go up, the temperture decreases 5 degrees.
So T starts out at 25 degrees at the surface, it becomes 20 degrees 1 km up, 15 degrees 2 km up, and so on.
So where d=0, T=25, where d=1, T=20, so your equation is T=-5d + 25, because when d is 0, T=25.
On a graph, distance would be on the x axis, and temperture would be on the y axis, because the temperture is the dependent variable because is varies depending on the distance from the surface.
So at x=0, T=25, at x=1, T=20, and there you have two points that you can use to draw a line.
You should draw the line to the right, because we don't know how temperture changes as you go beneath the ground, just up from the surface.
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