Can you answer this one for me? For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation. In the x slot is the numbers 16,32, and 48. In the y slot its 4,16 an 36.

Question

anonymous · Answer

Answers:
yes; y = 2x
yes; y = 4x
yes; y = 8x
no; y does not vary directly with x

matt101 · Answer

Are the ordered pairs (16,4), (32,16), and (48, 36)?

anonymous · Answer

yes

matt101 · Answer

Then they do not vary directly. Although the value of y increase as the value of x increases, it does not in increase by the same amount each time. For something to increase directly, the graph of the relationship must be a straight line, so the slope should always be the same. Here, the slope of the first two points is 3/4, but the slope of the second two points is 5/4. Answer is D.

anonymous · Answer

Ok thanks :)