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
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
Solution
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.
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