Question

Suppose r varies directly as the square of m, and inversely as s. If r = 18 when m = 10 and s=4, find r when m = 30 and s=4.

Answer 1

To find the value of r when m = 30 and s = 4, we can use the concept of direct and inverse variation.

Step-by-step explanation:

To find the value of r when m = 30 and s = 4, we can use the concept of direct and inverse variation.

Given that r varies directly as the square of m, we can write the equation as r = km^2, where k is the constant of variation.

Also, r varies inversely as s, so we can write the equation as r = k(m^2/s).

Substituting the given values r = 18, m = 10, and s = 4 into the equation, we can find the value of k.

Then, substitute the value of k along with the new values m = 30 and s = 4 into the equation to find the value of r.

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