Question

2 Tables. A 2-column table with 2 rows is titled Table A. Column 1 is labeled Squares with entries 5, 10. Column 2 is labeled Circles with entries 3, 6. A 2-column table with 2 rows is titled Table B. Column 1 is labeled Squares with entries 10, 20. Column 2 is labeled Circles with entries 3, 9.
Which statement is true about the ratios of squares to circles in the tables?
The ratios in Table A are greater than the ratios in Table B.
The ratios in Table B are greater than the ratios in Table A.
Only some of the ratios in Table A are greater than the ratios in Table B.
The ratios in Table A are equal to the ratios in Table B.

Answer 1

To compare the ratios of squares to circles in both tables, we need to calculate the ratios for each entry in both tables.

#### Table A
- For the first row:
Ratio \( = \frac{5 \text{ (squares)}}{3 \text{ (circles)}} = \frac{5}{3} \approx 1.67 \)
- For the second row:
Ratio \( = \frac{10 \text{ (squares)}}{6 \text{ (circles)}} = \frac{10}{6} = \frac{5}{3} \approx 1.67 \)

#### Table B
- For the first row:
Ratio \( = \frac{10 \text{ (squares)}}{3 \text{ (circles)}} = \frac{10}{3} \approx 3.33 \)
- For the second row:
Ratio \( = \frac{20 \text{ (squares)}}{9 \text{ (circles)}} \approx 2.22 \)

Now let's summarize the ratios for both tables:
- Table A: \( \frac{5}{3} \) in both rows (approx. 1.67)
- Table B: \( \frac{10}{3} \approx 3.33 \) for the first row and \( \frac{20}{9} \approx 2.22 \) for the second row

Now let's compare the ratios:
- For the first row: \( \frac{5}{3} \approx 1.67 \) (Table A) vs. \( \frac{10}{3} \approx 3.33 \) (Table B); thus, Table B's ratio is greater.
- For the second row: \( \frac{5}{3} \approx 1.67 \) (Table A) vs. \( \frac{20}{9} \approx 2.22 \) (Table B); thus, Table B's ratio is also greater.

Thus, the correct statement is:
**The ratios in Table B are greater than the ratios in Table A.**