Question

For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation.
x: 2, 4, 6
y: 10, 24, 36
Responses:
A. yes;y=2x
B. yes;y=5x
C. yes;y=7x
D. no;y does not vary directly with x.

Answers

GPT 3.5
To determine if y varies directly with x, we need to check if the ratio of y to x remains the same for each pair of values.

If we divide each y-value by its corresponding x-value, we get the following ratios:

10 / 2 = 5
24 / 4 = 6
36 / 6 = 6

Since the ratios are not consistent for each pair of values, y does not vary directly with x.

Therefore, the correct answer is D. no; y does not vary directly with x.

Related Questions