Question

When p = 12, t= 2, and s = 5. r = 18. If r varies directly with p and inversely with the product of s and t, what is the constant of variation? O col 1 2 O O 18​

Answer 1

Constant of variation is: 15

Explanation:

r varies directly with p and inversely with the product of s and t

It can be written as:

r ∝ p/st

When the proportionality symbol is removed, a constant is introduced which is called constant of variation

So

`r = (kp)/(st)`

Putting p = 12, t= 2, and s = 5 and r = 18

`18 = (k * 12)/(2*5)\\18 = (12k)/(10)\\12k = 18*10\\12k = 180\\(12k)/(12) = (180)/(12)\\k = 15`

Hence,

Constant of variation is: 15