Question

In the table below, y varies directly with x, Which equation best describes the data?

x 18 3 9
y 6 1 3



y=12x

y=3x

y=3/2x

y=1/3x

Answer 1

To determine which equation best describes the data, we can analyze the relationship between y and x. Since y varies directly with x, we want to find an equation of the form y = kx, where k is a constant.

By comparing the ratios of y and x, we can find the value of k.

For the first row, y = 6 and x = 18. The ratio of y to x is 6/18 = 1/3.

For the second row, y = 1 and x = 3. The ratio of y to x is 1/3.

For the third row, y = 3 and x = 9. The ratio of y to x is 3/9 = 1/3.

Since the ratio of y to x is always 1/3, the equation that best describes the data is y = 1/3x.