Question

Suppose that x and y vary inversely. write a function that models each inverse variation.

Answer 1

Answer:

y = - $\frac{24}{x}$

Step-by-step explanation:

Given that the quantities vary inversely then the equation relating them is

y = $\frac{k}{x}$ ← k is the constant of variation

To find k use the condition x = 4 when y = - 6

k = yx = - 6 × 4 = - 24

y = - $\frac{24}{x}$ ← equation of variation