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.
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
1 answer