Question

Suppose y varies inversely with x, and y = 3 when x = 1/3. What is the inverse variation equation that relates x and y ?

Answer 1

Good the answer is going to be 1/3x3y

Answer 2

Answer:

y = $\frac{1}{x}$

Step-by-step explanation:

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

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

To find k use the condition y = 3 when x = $\frac{1}{3}$ , then

3 = $\frac{k}{\frac{1}{3} }$ ( multiply both sides by $\frac{1}{3}$ )

3 × $\frac{1}{3}$ = k

1 = k

y = $\frac{1}{x}$ ← equation of variation