Final answer:
To find the value of X when Y is 30, given the proportional relationship where Y equals 25 when X equals 16, we set up the proportion 25/16 = 30/X. After cross multiplying and solving for X, we find that X is 19.2.
Step-by-step explanation:
Proportional Relationships and Solving for Variables
Given that Y and X have a proportional relationship, and Y equals 25 when X equals 16, we can establish a proportion to find the value of X when Y is 30.
Initially, we have Y = kX, where k is the constant of proportionality. With Y being 25 when X is 16, the constant k can be calculated as 25/16. We can use this same constant to find the unknown X when Y is 30 by setting up the proportion 25/16 = 30/X.
To solve for X, we cross multiply:
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- (25)(X) = (16)(30)
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- X = (16)(30) / 25
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- X = 480 / 25
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- X = 19.2
Therefore, when Y is 30, the value of X is 19.2.