Determine which set of ratios forms a proportion.
A. 9:10, 45:40
B. 1:16, 3:18
C. 1:8, 2:18
D. 5:10, 20:40
A. 9:10, 45:40
To determine if two ratios form a proportion, you need to simplify the ratios and see if they are equivalent.
For A:
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, A does not form a proportion.
What about the rest of them?
Let's check the other sets of ratios as well:
B. 1:16, 3:18
1:16 can be simplified to 1/1 : 16/1 = 1/16
3:18 can be simplified to 3/3 : 18/3 = 1/6
Since 1/16 is not equal to 1/6, B does not form a proportion.
C. 1:8, 2:18
1:8 can be simplified to 1/1 : 8/1 = 1/8
2:18 can be simplified to 2/2 : 18/2 = 1/9
Since 1/8 is not equal to 1/9, C does not form a proportion.
D. 5:10, 20:40
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, D forms a proportion.
Therefore, only the set D (5:10, 20:40) forms a proportion.