Determine which set of ratios forms a proportion.
This question requires you to show your work.
(1 point)
Responses
9:10, 45:40
9:10, 45:40
5:10, 20:40
5:10, 20:40
1:16, 3:18
1:16, 3:18
1:8, 2:18
To determine if two ratios form a proportion, we need to simplify each ratio to see if they are equal.
For the first set:
9:10 can be simplified to 9/1 ÷ 10/1 = 9/10
45:40 can be simplified to 45/5 ÷ 40/5 = 9/8
Since 9/10 is not equal to 9/8, the first set does not form a proportion.
For the second set:
5:10 can be simplified to 5/5 ÷ 10/5 = 1/2
20:40 can be simplified to 20/20 ÷ 40/20 = 1/2
Since 1/2 is equal to 1/2, the second set forms a proportion.
Therefore, the second set of ratios forms a proportion: 5:10, 20:40.