For the data in the table​ below, does y vary directly with​ x? If it​ does, write an equation for the direct variation.

Question

x 2 3 5
y 5 7 11

Answer 1

To determine if y varies directly with x, we need to check if the ratio of y to x is constant for all values in the table. Let's calculate the ratios:

$\frac{y}{x}$

$\frac{5}{2} = 2.5$

$\frac{7}{3} \approx 2.33$

$\frac{11}{5} = 2.2$

Since the ratios are not constant, we can conclude that y does not vary directly with x. Therefore, we cannot write an equation for direct variation.