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Which table of values reflects a direct variation?
Choose one answer.
A. A table shows that when x is zero, y is zero; when x is 1, y is 5; and when x is 2, y is 6.
B. A table shows that when x is 1, y is 5; when x is 2, y is 5; and when x is 3, y is 5.
C. A table shows that when x is 2, y is 4; when x is 4, y is sixteen; and when x is 6, y is thirty-six.
D. A table shows that when x is zero, y is zero; when x is 3, y is 6; and when x is 5, y is ten.
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So basically a direct variation is when \(\large y = kx\) where 'k' is some constant of variation we need to find
Once we find 'k' we can use it to see if the direct variation holds true for the other numbers in question as well
Because y = kx
y = 2x
y = 2(0) = 0
y = 2(3) = 6
y = 2(5) = 10
Yes, it's D. Confirm it.
I checked it out and got D.
I has the same constant. All the others do not have a constant, but rather are quadratic or exponential in shape.