Question

Find the constant of variation for the relationship shown in the following table:


x 1 2 3 4
y 5 10 15 20




1

2

5

10

Answer 1

ANSWER

The constant of variation is $5$

EXPLANATION.

The constant of variation is the slope connect any two pairs of points.

Recall that the slope formula is given by,

$m=\frac{y_2-y_1}{x_2-y_1}$

For instance using the points $(1,5)\:and\: (2,10)$ will give the slope to be,

$m=\frac{10-5}{2-1}$

$m = \frac{5}{1}=5$

Therefore the constant of variation is
$5.$

The correct answer is C.

Answer 2

Constant variation is 5