SOLUTION: Write a general formula to describe variation. R varies directly with g, inversely with the square of h. R=3 when g=3 and h=5

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Question 989158: Write a general formula to describe variation.
R varies directly with g, inversely with the square of h.
R=3
when g=3 and h=5
Answer by farohw(175) About Me  (Show Source):
You can put this solution on YOUR website!

Formula: R+=+kg%2Fh%5E2

Solve by substituting, R = 3 when g = 3 and h = 5.

3+=+k%283%29%2F%285%29%5E2


3+=+3k%2F25

Multiply both sides by 25 to get rid of the fraction:

25%2A3+=+%283k%2F25%29%2A25 ---> 75+=+3k

Next, divide 3 on both sides:

75%2F3+=+3k%2F3

k+=+25


Therefore, R+=+25g%2Fh%5E2 is your general formula.