Question

Which sets of ordered pairs show equivalent ratios? Use the grid to help you.

Check all that apply.

A: (1, 2), (2, 3), (4, 7)

B: (2, 2), (4, 4), (6, 6)

C: (3, 1), (4, 1), (5, 1)

D: (4, 1), (8, 2), (12, 3)

E: (2, 1), (4, 3), (5, 4)

Answer 1

B and D

Explanation:

in B the ratio of x/y = 1 for all pairs.

in D the ratio of x/y = 4 for all pairs.

in all other sets there are different ratios inside the set.

Answer 2

The pairs (2, 2), (4, 4), and (6, 6) have ratios of 1 and the pairs (4, 1), (4, 1), (8, 2), and (12, 3) have ratios of 4. The other pairs do not have similar ratios.

Explanation:

Step 1; In order to pair up the pairs with equivalent rations, we first need to calculate the ratios for all the pairs by dividing the first value with the second value. The same procedure must be followed throughout to be able to pair them up.

Step 2; By dividing the values, the ratios are;

For (1, 2), the ratio is = 0.5,

For (2, 3), the ratio is = 0.6666,

For (4, 7), the ratio is = 0.5714,

For (2, 2), the ratio is = 1,

For (4, 4), the ratio is = 1,

For (6, 6), the ratio is = 1,

For (3, 1), the ratio is = 3,

For (4, 1), the ratio is = 4,

For (5, 1), the ratio is = 5,

For (4, 1), the ratio is = 4,

For (8, 2), the ratio is = 4,

For (12, 3), the ratio is = 4,

For (2, 1), the ratio is = 2,

For (4, 3), the ratio is = 1.333,

For (5, 4), the ratio is = 1.25.

Step 3; Now we pair up the sets with the same ratios, out of these 15 pairs. The pairs (2, 2), (4, 4), and (6, 6) have ratios of 1 and the pairs (4, 1), (4, 1), (8, 2), and (12, 3) have ratios of 4. The other pairs do not have similar ratios.

I hope this is right and it helps you !!!!!!!!!!