Question

Determine the constant of variation for the direct variation given.

R varies directly with S. When S is 16, R is 80.
1/5
5
16

Answer 1

The constant of variation is k=5

Explanation:

Proportions

A direct proportion is a relation between variables where their ratio is a constant value. This means that if y and x are proportional, then:

`y=k\cdot x`

Where k is the constant of proportionality.

We know R varies directly with S. Their relationship is:

`R=k\cdot S`

We also have when S=16, R=80. Thus:

`80=k\cdot 16`

Solving for k:

`k=80/16=5`

The constant of variation is k=5