Question

For each table, determine whether it shows that X and y are proportional.
If X and y are proportional, fill in the blank with a number in simplest form.

Table 1




9
12

12
36
24
• Proportional
is
times X
• Not proportional
Table 2
6
24
• Proportional
y is
times x
• Not proportional

Answer 1

Table 1 — Not proportional.
Reason: 12/9 = 4/3 but 36/12 = 3, the ratios are different, so y is not a constant multiple of x.

Table 2 — Proportional.
Reason: 24/6 = 4, so y = 4x (y is 4 times x).