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?
​

Answer 1

the answer is 5.

Explanation:

Answer 2

The constant of proportionality is 5.

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(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((8)/(4^2))`

`2.5=k((8)/(16))`

`2.5=(1)/(2)k`

Multiply both sides by 2

`k=2.5* 2=5`

The constant of proportionality is 5.