Question

Identify which table shows a direct variation? A. Table 1 only B. Table 2 only C. Both tables D. Neither table

Answer 1

Hello.

A direct variation is when one variable affects the other variable. Let's take a look at each table that we've been given.

Table 1:
x = 1, y = 19
x = 2, y = 38
x = 3, y = 57
This table seems to have the effect of when x goes up by 1, y goes up by 19;
1, 19; 2, 38; 3, 57; and so on.

This means at least table 1 has a direct variation with it's variables. But let's continue with table 2 as we have answer choices that say both, neither, or individual tables have direct variations.

Table 2:
x = 5, y = 48
x = 6, y = 72
x = 7, y = 84
This doesn't appear to have a constant direct variation, aside from the first two sets of variables.

This leaves us with our answer:
A.) Table 1 only

I hope this helps!