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Andrej [43]
2 years ago
9

The variables x and y are inversely proportional, and y = 2 when x = 3. What is the value of y when x = 9?

Mathematics
1 answer:
Nina [5.8K]2 years ago
4 0

Answer:

\huge \purple{ \boxed{ y =  \frac{2}{3} }}

Step-by-step explanation:

Since, the variables x and y are inversely proportional.

\therefore \: y  \:  \: \alpha \:  \:  \frac{1}{x}  \\  \implies \: y =  \frac{k}{x} \\ (k = constant)  \\  \implies \: xy = k ...(1)\\ plug \: y = 2, \:  \: x = 3   \: in  \: equation \: (1) \\ we \: find \\ 2 \times 3 = k \\ k = 6 \\ plug \:k = 6   \: in  \: equation \: (1)  \\ xy = 6 \\ (this \: is \: the \: equation \: of \: variation) \\ when \: x = 9 \:  \: y =?  \\  \\ 9y = 6 \\  y =  \frac{6}{9}  \\ \huge \red{ \boxed{ y =  \frac{2}{3} }}

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