a varies directly as b and inversely as the square of c

Question

If a = 229 when b = 4 and c = 2, find a if b = 6 and c = 5

Round your answer to two decimal places if necessary.

Answer 1

Hello, McKinley,

I solved this before seeing it had already been answered. I got the same as Edward B, but I'll add my table, in case it helps.

If I write what is explained, it would be a = b/c² in its simplest form. "a varies directly as b and inversely as the square of c."

But it says nothing of a potential coefficient in the equation. I kept this in mind when substituting the actual values for b and c, and discovered my answer was "1." To make it 229, I need N to be 229. Then using the equation a = 229b/c². Then I put the new numbers in to get the result Edward B. got: 54.96.

Bob

Answer 2

You first use equation a= kb/c^2 and substitute values for a, b, and c. You now calculate k. Then use values of k (found in last step) and b=6 and c = 5 using again the equation a=kb/c^2 to find a. Answer is 54.96.