Do the data in the table represent a direct variation or inverse variation? Write an equation to model the data in the table?

x 1 3 5 10

y 4 12 20 40

For this case, we observe that the table presents a direct variation.

Therefore, we have an equation of the form:

y = k * x

We look for the value of k. For this, we use an ordered pair:

(x, y) = (1, 4)

We have then:

4 = k * 1

k = 4

Thus, the equation modeling the table is:

y = 4x

Answer:

An equation to model the data in the table is:

y = 4x