Which set of points represents equivalent ratios and would follow the same pattern on a graph? (6, 2), (3, 1), (9, 3), (10, 2) (4, 2), (6, 3), (8, 3), (10, 5) (1, 3), (2, 6), (3, 8), (4, 12) (2, 4), (4, 8), (3, 6), (5, 10)
Answers
Given : set of points
(6. 2), (3, 1), (9,3), (10,2)
(4.2), (6.3), (8,3). (10, 5)
(1.3), (2.6), (3.8), (4. 12)
(2.4), (4.8), (3,6). (5. 10)
To Find : Which set of points represents equivalent ratios and would follow the same pattern on a graph
Solution:
(6, 2), (3, 1), (9,3), (10,2)
Arranging in order
(3, 1) (6, 2), (9,3), (10,2)
First three term x increases 3 and y increases 1 but last term x increases but y decreased
Hence not equivalent ratios
(4,2), (6,3), (8,3), (10, 5)
Between 2nd & third term x increases but y does not
(1,3), (2,6), (3,8), (4, 12)
(3.8) should have been 3,9 for equivalent ratios
(2.4), (4,8), (3,6). (5, 10)
Arranging in order
(2,4), (3,6),(4,8), (5, 10)
For every increase of 1 in x there is increase of 2 in y
2/4 = 3/6 = 4/8 = 5/10 = 1/2
Hence represents equivalent ratios
= 1/2
(2,4), (4,8), (3,6), (5, 10) set of points represents equivalent ratios and would follow the same pattern on a graph
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