Question

The quantity q varies inversely with the square of m and directly with the product of rand x. When q is 2.5, m is 4 and the

Answer 1

Answer:

The constant of variation is

$k= 5$

Step-by-step explanation:

First we must write the relationship as an equality.

If q varies inversely with the square of m, this means that when m ^ 2 increases then q decreases.

If q varies directly with the product of r and x this means that when r * x increases q increases.

Then the relationship is:

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

Where k is the constant of proportionality

Then if:

$q=2.5\\\\m=4\\\\r*x=8$

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

We solve for k

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

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

$k= 5$