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butalik [34]
3 years ago
13

On a rectangular hyperbola, if one point is (2, 3) and y varies inversely to x, find y when x is 6.

Mathematics
1 answer:
pickupchik [31]3 years ago
6 0

Answer:

y = 1

Step-by-step explanation:

y is inversely proportion to x means that ,

y ∝ 1/x or ,

y\  \alpha\  \frac{1}{x}

When we remove the proportionality sign we get,

y=k(\frac{1}{x})\\y=\frac{k}{x} \\

now we know the point is (2 , 3) which means it corresponds to (x , y) which furthermore means y=3 when x=2,

so we insert these values and get the value of k.

y=\frac{k}{x} \\\\3=\frac{k}{2}\\\\6=k\\

now the equation becomes,

y=\frac{6}{x}

now we need to find y when x is 6 so just replace x with 6

y=\frac{6}{x}\\\\y=\frac{6}{6} \\\\y=1

so we get the value of y is 1

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