Question

(44,11),(68,17),(84,21) Determine constant of variation

Answer 1

To determine the constant of variation, we need to find the ratio between the variables in each pair of points.

Let's start with the first pair of points (44,11).

Constant of variation = y / x

Constant of variation = 11 / 44

Constant of variation = 0.25


Now let's find the constant of variation for the second pair of points (68,17).

Constant of variation = y / x

Constant of variation = 17 / 68

Constant of variation = 0.25


Finally, let's find the constant of variation for the third pair of points (84,21).

Constant of variation = y / x

Constant of variation = 21 / 84

Constant of variation = 0.25


Therefore, the constant of variation for all three pairs of points is 0.25.