Question

NEED HELP!
Identify which table shows a direct variation.
Two tables. For each table the column headings are x and y. Table 1 has column 1 values 3, 4.5, 7 and column 2 values 7.5, 11.25, 17.5. Table 2 has column 1 values 1.5, 8, 13 and column 2 values 3, 12, 19.5.

A.
both tables

B.
Table 1 only

C.
Table 2 only

D.
neither table
https://static.k12.com/calms_media/media/1418000_1418500/1418044/1/6f09e69b6fb92f6be38add43d83561102cc91a88/FGA_130919_161133.jpg

Answer 1

which table shows this kinda relation between y and x where k is a constant
y=kx ?

Answer 2

do you know what 7.5/3 equals?
and what 3/1.5 equals?

Answer 3

once you evaluate those:
ask yourself if all the following are true equations
these (x,y) come from table 1:
\[7.5=\frac{7.5}{3} \cdot 3 \\ 11.25=\frac{7.5}{3} \cdot 4.5 \\ 17.5=\frac{7.5}{3} \cdot 7\]
if all of these equations are the true then we do have y=kx for the first table
which means the table shows a direct varition

now on to second table
are all of these true:
\[3=\frac{3}{1.5} \cdot 1.5 \\ 12 =\frac{3}{1.5} \cdot 8 \\ 19.5=\frac{3}{1.5} \cdot 13\]
again if these equations are all true then you have a direct variation for table 2