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

x y
20 24
30 36
40 48

The direct variation says that:

then the equation is in the form of : y =kx.....[1] where k is the constant of variation.

From the table:

Consider any values of x and y.

Let x = 20 and y =24

Substitute these values in [1] to solve for k;

Divide both sides by 20 we get;

⇒

Check:

Substitute any values of x and y.

x= 30 and y =36

36 = 1.2(30)

36 = 36         True.

Therefore, the direct variation equation for the table of ordered pairs is,

b.

step-by-step explanation:

answer:

at time x=0 we have 1000, at time x=1 we have 2000, at time x=2 we have 4000.  

so that's an initial value of 1000 and a ratio of 2,

y = 1000 (2^x)

hope this !