Question

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

x 1 3 4 7
y 5 15 20 35

Answer 1

The data in the table represents a direct variation. To write an equation to model the data, we can write it in the form of y = kx, where k is the constant of variation.

Using the first pair of data points (1, 5):
5 = k(1)
5 = k

Therefore, the equation to model the data is y = 5x.