Determine which set of ratios forms a proportion.

Question

This question requires you to show your work.

(1 point)
Responses

1:16, 3:18
1:16, 3:18

1:8, 2:18
1:8, 2:18

9:10, 45:40
9:10, 45:40

5:10, 20:40

Answer 1

To determine if a set of ratios forms a proportion, we need to see if they are equal when simplified.

1st set: 1:16, 3:18
To check if they form a proportion, we compare the ratios:
1/16 = 0.0625
3/18 = 0.1667
They are not equal when simplified, so this set does not form a proportion.

2nd set: 1:8, 2:18
To check if they form a proportion, we compare the ratios:
1/8 = 0.125
2/18 = 0.1111
They are not equal when simplified, so this set does not form a proportion.

3rd set: 9:10, 45:40
To check if they form a proportion, we compare the ratios:
9/10 = 0.9
45/40 = 1.125
They are not equal when simplified, so this set does not form a proportion.

4th set: 5:10, 20:40
To check if they form a proportion, we compare the ratios:
5/10 = 0.5
20/40 = 0.5
They are equal when simplified, so this set forms a proportion.

Therefore, the set of ratios 5:10, 20:40 form a proportion.