Use the given tables to compare the ratios 3:5

Question

and 2:3
.

3 5
6 10
9 15
12 20
15 25
2 3
4 6
6 9
8 12
10 15


(1 point)
Responses

3:5 = 2:3
ratio of 3 to 5 is equal to ratio of 2 to 3

3:5 > 2:3
3:5 > 2:3

3:5 < 2:3
ratio of 3 to 5 is less than ratio of 2 to 3

More rows need to be added to the tables to be able to compare the ratios.
More rows need to be added to the tables to be able to compare the ratios.
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Answer 1

To compare the ratios \(3:5\) and \(2:3\), we can convert them to decimal form or find a common denominator.

1. Convert to Decimal Form:
   • For \(3:5\): \[ \frac{3}{5} = 0.6 \]
   • For \(2:3\): \[ \frac{2}{3} \approx 0.6667 \]

From the decimal comparisons:

• \(0.6 < 0.6667\)

2. Cross-Multiply:
   • To compare directly, we can cross-multiply: \[ 3 \times 3 = 9 \quad \text{and} \quad 5 \times 2 = 10 \] Since \(9 < 10\), it confirms that \(3:5 < 2:3\).

Based on the comparisons, the correct response is:

3:5 < 2:3 (ratio of 3 to 5 is less than ratio of 2 to 3).