Y varies inversely with x. If y = 7 when x = -4, find y when x = 2. A. y = -14
B. y = 0
C. y = -10
D. y = 10

A. y = -14

Step-by-step explanation:

The phrase “ y varies inversely as x” or “ y is inversely proportional to x” means that as x gets bigger, y gets smaller, or vice versa. This concept is translated in two ways. yx = k for some constant k, called the constant of proportionality, or y = k/x (they are essentially identical though.)

Thus, from given information, we first need to find that constant k to be able to solve for either y or x in the future

y * x = k

7 * (-4) = k

k = -28

Now, we can find what y equals when x = 2:

y * x = k

y * (2) = -28

y = -28/2

y = -14

2.83941151 would be the answer you're looking for! : )

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step-by-step explanation: