For the direct variation function y=kx(where>0) as the value of x increases the value of y ? A Increases B Decreases C Decreases then increases D is equal to k

Respuesta :

Answer:

Increases

Step-by-step explanation:

Given

[tex]y = kx[/tex]

[tex]k > 0[/tex]

Required

What happens to y when x increases

Since k > 0.

It' safe to assume that:

[tex]k = 2[/tex]

Solving further, we assume two increasing values for x

FIrst.

[tex]x = 4[/tex]

[tex]y = kx[/tex]

[tex]y = 2 * 4[/tex]

[tex]y= 8[/tex]

Next;

[tex]x = 6[/tex]

[tex]y = kx[/tex]

[tex]y = 2 * 6[/tex]

[tex]y = 12[/tex]

Notice that: as x increases from 4 to 6, y increases from 8 to 12

Hence:

Option A answers the question

Answer:

A. increases

Step-by-step explanation: