Question

Which sets of ordered pairs show equivalent ratios?. Check all that apply. (1, 2), (2, 3), (4, 7) (2, 2), (4, 4), (6, 6) (3, 1), (4, 1), (5, 1) (4, 1), (8, 2), (12, 3) (2, 1), (4, 3), (5, 4)

Answer 1

(2, 2) ; (4, 4) ; (6, 6)

(4, 1) ; (4, 1) ; (8, 2) ; (12, 3)

Explanation:

(1, 2), (2, 3), (4, 7) (2, 2), (4, 4), (6, 6) (3, 1), (4, 1), (5, 1) (4, 1), (8, 2), (12, 3) (2, 1), (4, 3), (5, 4)

Evaluating the ratio of each pair :

(1, 2) = 1/2 = 0.5

(2,3) = 2/3 = 0.67

(4, 7) = 4/7 = 0.57

(2,2) = 2/2 = 1

(4, 4) = 4/4 = 1

(6, 6) = 6/6 = 1

(3, 1) = 3 /1 = 3

(4, 1) = 4 / 1= 4

(5,1) = 5 / 1= 5

(4, 1) = 4 / 1 = 4

(8, 2) = 8/2 = 4

(12,3) =12/3 = 4

(2, 1) = 2/1 = 2

(4,3) = 4 / 3 = 1.33

(5, 4) = 5 / 4 = 1.25

Pairs with equivalent ratios :

Ratio of 1;

(2, 2) ; (4, 4) ; (6, 6)

Ratio of 4:

(4, 1) ; (4, 1) ; (8, 2) ; (12, 3)