Question

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

Answer 1

y = 4x, Direct Variation...

Explanation:

Answer 2

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