Use cross products to determine which of the following pairs of ratios cannot form a proportion.
(1 point)
Responses
one-third comma three-ninths
Image with alt text: one-third comma three-ninths
two-thirds comma four-ninths
Image with alt text: two-thirds comma four-ninths
two-thirds comma four-sixths
Image with alt text: two-thirds comma four-sixths
one-third comma two-sixths
To determine if two ratios can form a proportion using cross products:
For the first pair:
1/3 and 3/9
Cross product: 1*9 = 3*3
9 = 9
Since the cross products are equal, 1/3 and 3/9 can form a proportion.
For the second pair:
2/3 and 4/9
Cross product: 2*9 = 3*4
18 ≠ 12
Since the cross products are not equal, 2/3 and 4/9 cannot form a proportion.
For the third pair:
2/3 and 4/6
Cross product: 2*6 = 3*4
12 = 12
Since the cross products are equal, 2/3 and 4/6 can form a proportion.
For the fourth pair:
1/3 and 2/6
Cross product: 1*6 = 3*2
6 = 6
Since the cross products are equal, 1/3 and 2/6 can form a proportion.
Therefore, the pair that cannot form a proportion is 2/3 and 4/9.