Question

6. The points below represent a direct variation, find

the missing value between the points.
(6,10) and (24,y)​

Answer 1

y=40

Explanation:

A direct variation is a relationship between two numbers where the output equals the input times a constant.

The equation for a direct variation can be written as

y=kx

We can figure out the y value of the second coordinate by finding out what the constant (k) is. We can do that by plugging in the first coordinates into the equation.

y = kx

10 = 6k

10/6 = k

We can solve for y by plugging this constant, and the second coordinate into the equation.

y=kx

y=10/6(24)

y=40