SOLUTION: Five inches of snow = .5 inches of rain and 15 inches of snow = 1.5 inches of rain. Write an equation that will predict the number of inches of snow, y, that will result from x inc

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Five inches of snow = .5 inches of rain and 15 inches of snow = 1.5 inches of rain. Write an equation that will predict the number of inches of snow, y, that will result from x inc      Log On


   

Question 1182361: Five inches of snow = .5 inches of rain and 15 inches of snow = 1.5 inches of rain. Write an equation that will predict the number of inches of snow, y, that will result from x inches or rain.
Found 2 solutions by ikleyn, math_tutor2020:
Answer by ikleyn(52802) About Me  (Show Source):
You can put this solution on YOUR website!
.

        y = 10x.                     ANSWER


Solved.


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Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

x = inches of rain
y = inches of snow

"Five inches of snow = 0.5 inches of rain" means we have the point (0.5, 5)

The other part of the same sentence means we have the other point (1.5, 15)

Use the slope formula
m = (y2-y1)/(x2-x1)
m = (15-5)/(1.5-0.5)
m = 10/1
m = 10
The slope is 10

Now find the y intercept
y = mx+b
5 = 10*0.5+b
5 = 5+b
5-5 = b
0 = b
b = 0

Since m = 10 and b = 0, the equation y = mx+b becomes y = 10x+0 or simply y = 10x.

Answer: y = 10x