Instructions: Assume that y𝑦 varies inversely as x𝑥. If y=8𝑦=8 when x=−2𝑥=−2, find y𝑦 when x=4𝑥=4.y=𝑦= Answer 1 Question 22

Question

Assume that $y$ varies inversely as $x$ .
If $y = 8$ when $x = -2$ , find $y$ when $x = 4$ .
$y =$ Answer 1 Question 22

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The given relationship is an inverse variation, which can be represented by the equation y = k/x, where k is the constant of variation.

Step 1: Find the constant of variation (k) using the given values of x and y.

We know that y = 8 when x = -2. Substituting these values into the equation gives us:

8 = k / -2

Solving for k, we get k = -16.

Step 2: Use the constant of variation to find y when x = 4.

Substitute x = 4 and k = -16 into the equation:

y = -16 / 4

Solving for y, we get y = -4.

So, when x = 4, y = -4.

This problem has been solved

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