Answer:
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
Answer:
y varies inversely with x:y=k,/x
y=7,x=-4
7=k/(-4)
-28=k
k=-28,x=2
y=-28/2
y=-14
