SOLUTION: Suppose p varies directly with i and inversely with m. Write the equation to solve for k. If p = 30 when i = 2.5 and m = 6, what is the value of p when i = 4 and m = 7?

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Question 1179569: Suppose p varies directly with i and inversely with m. Write the equation to solve for k. If p = 30 when i = 2.5 and m = 6, what is the value of p when i = 4 and m = 7?
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

Suppose p+varies directly with i and inversely with m. Write the equation to solve for k.
p+=k%2A%28i%2Fm%29
k+=p%2F%28i%2Fm%29
k+=%28pm%29%2Fi
If p+=+30 when i+=+2.5 and m+=+6, then
k+=%2830%2A6%29%2F2.5
k+=180%2F2.5
k+=72
what is the value of p when i+=+4 and m+=+7?
p+=72%2A%284%2F7%29
p+=288%2F7-> exact solution
approximately p+=41.14