Question

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

Answer 1

here is the graph:

Answer 2

Let me tell you what I see going on and you come up with an equation from that...

x is increasing by 16 each time.
y is a bit more tricky but you take x and divide it by 4 and then multiply it by some number n, where n starts at 1 for the first set of point and then is 2 for the second point etc.

Answer 3

y=4x?

Answer 4

try plugging numbers in for your equation:

4 = 4(16)

does that work?

Answer 5

no

Answer 6

@piglet9

Answer 7

as "x" increases in value, "y" is increasing, so yes, is a direct variation

something varies directly to "something else" means
something = "some value" times "something else"
y = n * x

so, what's "n"? so-called the Constant of Variation, we dunno

but we know that say when y = 4 x = 16 so let us use that

\(\bf y = nx\implies 4 = 16n\qquad \textit{solve for "n" to find it}
\)