Question

Determine the constant of variation for the direct variation given. R varies directly with S. When S is 16, R is 80.

Answer 1

The constant of variation is 5.

Explanation:

In direct variation, as y varies directly with x, the standard equation is

y = kx,

where k is the constant of variation.

In your case, we use R and S. R varies directly with S, so we have

R = kS

We know that when S = 16, R is 80, so we plug in those values and solve for k, the constant of variation.

R = kS

80 = k(16)

k = 80/16

k = 5

Answer: The constant of variation is 5.

Answer 2

Constant of variation is 5

Explanation:

R varies directly with S.

When y directly varies with x then equation is
`y=kx`, where k is the constant of proportionality.

Given : R varies directly with S. So equation is
`R=kS`

The value of R is 80 and S is 16.

Plug in the values and find out k (constant of variation for direct variation)

`R=kS`

`80=k(16)`

Divide both sides by 16

`k=5`

Constant of variation is 5