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In the table below, y varies inversely as x. What is the missing value?

In the table below, y varies inversely as x. What is the missing value?-example-1

1 Answer

1 vote

Answer:

The value of y is 0.5, so the answer is C.

Explanation:

Find first the constant of variation.

Given: x = 3, y = 4

Find: k = ?

Formula:


y = (k)/(x)

Solution:


y = (k)/(x) \\ 4 = (k)/(3) \\ 12 = k

Then, find the value of y in the third box.

Given: x = 24, k = 12

Find: y = ?

Formula:


y = (k)/(x)

Solution:


y = (k)/(x) \\ y = (12)/(24) \\ y = (1)/(2) \\\boxed{y = 0.5}

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