Question

The quantity q varies inversely with the square of m and directly with the product of r and x. When q is 2.5, mis 4 and the
product of r and x is 8. What is the constant of variation?
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Answer 1

Answer:

The constant of proportionality is 5.

Step-by-step explanation:

If the quantity q varies inversely with the square of m and directly with the product of r and x, then the variation equation is

$q=k\frac{rx}{m^2}$

When q=2.5, m= 4 and the

product of rx = 8.

We plug in this values to get;

$2.5=k(\frac{8}{4^2})$

$2.5=k(\frac{8}{16})$

$2.5=\frac{1}{2}k$

Multiply both sides by 2

$k=2.5\times 2=5$

The constant of proportionality is 5.

Answer 2

Answer:

the answer is 5.

Step-by-step explanation: