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

Answer:

Constant of variation is: 15

Step-by-step 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

$r = \frac{kp}{st}$

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

$18 = \frac{k * 12}{2*5}\\18 = \frac{12k}{10}\\12k = 18*10\\12k = 180\\\frac{12k}{12} = \frac{180}{12}\\k = 15$

Hence,

Constant of variation is: 15