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

Mathematics

2 answers:

Sav [38]3 years ago

8 0

Good the answer is going to be 1/3x3y

lorasvet [3.4K]3 years ago

7 0

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

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