Question

Does this table represent a proportional relationship?

Books read Hours spent
2 3
4 6
6 9


A. Yes
B. No

Answer 1

To determine if the table represents a proportional relationship, we can check if the ratio of "Books read" to "Hours spent" is constant for all pairs of values.

Let's calculate the ratios:

1. For 2 books and 3 hours:
\[
\text{Ratio} = \frac{2}{3} \approx 0.67
\]

2. For 4 books and 6 hours:
\[
\text{Ratio} = \frac{4}{6} = \frac{2}{3} \approx 0.67
\]

3. For 6 books and 9 hours:
\[
\text{Ratio} = \frac{6}{9} = \frac{2}{3} \approx 0.67
\]

Since the ratio \(\frac{2}{3}\) is consistent across all pairs, the relationship is proportional.

So, the answer is:

**A. Yes**