Question

What is the direct variation equation for the table of ordered pairs?

x     y
4 = 4.8
8 = 9.6
11 = 13.2
________

y = 4.8x

y = 3.5x

y = 1.2x

y = 0.8x

Answer 1

The answer is y=1.2x because you can plug in 1.2x4 and get 4.8

Answer 2

Answer: y = 1.2x

Step-by-step explanation:

For the first one, when x=4, y= 4.8

Since it's a direct variation, we use:

y = kx

We plug in the values of x and y.:

y =kx

4.8 = 4k

Divide both side by 4

4.8/4 = 4k/4

K = 1.2

We then put the value of k back into the equation:

y = kx

y = 1.2x

We can then use this to confirm the other figures given:

When x= 8, y = (1.2×8) = 9.6

When x= 11, y = 1.2×11 = 13.2