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If x varies inversely as y, and x=27 when y=6 find x when y=2

User MiniMax
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1 Answer

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For this case we have that the inverse variation is defined as:


y = \frac {k} {x}

Where:

k: It is the constant of proportionality

According to the statement we have:


x = 27\\y = 6\\6 = \frac {k} {27}

We find the constant of proportionality:


k = 27 * 6\\k = 162

Then we find the value of x when
y = 2:


2 = \frac {162} {x}\\x = \frac {162} {2}\\x = 81

Answer:


x = 81

User Odwori
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