Question

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

Table 1
Proportional
is

Not proportional
Table 2
Proportional
is

Not proportional

Answer 1

To determine whether two variables \( x \) and \( y \) are proportional, we check if the ratio \( \frac{y}{x} \) is constant for all pairs of values in the table. If this ratio remains the same, then \( x \) and \( y \) are proportional.

Unfortunately, you haven't provided the actual tables to analyze. However, I can guide you on how to evaluate them:

1. **Table 1**:
- List all pairs of \( (x, y) \).
- Calculate \( \frac{y}{x} \) for each pair.
- If all resulting ratios are the same, write "Proportional" and state the common ratio \( \frac{y}{x} \). If the ratios differ, write "Not proportional".

2. **Table 2**:
- Apply the same steps as above.
- Determine the proportionality based on the calculated ratios.

If you provide the data from the tables, I can help you determine whether they are proportional and fill in the appropriate blanks.