8/2/20 - KnowCheck 13 / 16 Is the following information directly proportional or not? If it is, then find the equation of proportionality: X: 4 , 6, 8, 10.... Y: 5, 7.5, 9, 11.5…

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asked Oct 10, 2024 18.3k views

1 Answer

Linus Thiel · Answer 1 · 2024-10-14T01:51:53+0000

The given information is not directly proportional. There is no equation of proportionality to find.

The given sets of values for X and Y are:

X: 4, 6, 8, 10...

Y: 5, 7.5, 9, 11.5...

To determine if they are directly proportional, we need to check if the ratio Y/X is constant.

Let's calculate the ratios for the given values:

Ratio for X = 4: 5/4 = 1.25

Ratio for X = 6: 7.5/6 = 1.25

Ratio for X = 8: 9/8 = 1.125

Ratio for X = 10: 11.5/10 = 1.15

Since the ratio Y/X is not constant, the given information is not directly proportional.

Therefore, there is no equation of proportionality to find.