Question

Which tables show a direct variation?

Choose all answers that are correct.

Answer 1

a.
x y
2 4.4
4 8.8
6 9.9


b
x y
1 3
4 12
7 21


c.
x y
5 1.5
7 2.1
9 2.7


d.
x y
3 6
6 12
9 18

Answer 2

@Michele_Laino

Answer 3

can someone help

Answer 4

hint:
a direct variation, between two variables \(x,\;y\), can be modeled by this formula: \(y=kx\)
where \(k\) is a number, like \(0.5,\;2,\;5,...\)

Answer 5

for example, let's consider the first table.
we can write this:
\(4.4=2 \cdot 2.2\)
\(8.8=4 \cdot 2.2\)
it seems that we have a direct vaiation like this \(y=2.2x\). Nevertheless if we consider the third ordered pair, we have:
\(9.9 \neq 3 \cdot 2.2\)
so the such table doesn't represent a direct variation

Answer 6

variation*

Answer 7

so the answer is . . .. . . . .

Answer 8

please, try to apply my reasoning to the remaining tables of data