Question

Suppose that y varies inversely with x. Use the information to find k, and then choose the equation of variation. X=2 when y=2

Answer 1

Answer:

see explanation

Step-by-step explanation:

Given that y varies inversely as x then the equation relating them is

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

To find k use the condition

x = 2 when y = 2

k = yx = 2 × 2 = 4, hence

y = $\frac{4}{x}$ ← equation of variation