Question

on232428 29 30 312725 2632 33Y is inversely proportional to the square root of x. True or False: If Y=6 when x = 81, then Y= 9, when x is 36.

Answer 1

Step 1

Y is inversely proportional to the square root of x.

`y\text{ = }(k)/(√(x))`

Step 2

Find the value of k if Y=6 when x = 81.

`\begin{gathered} 6\text{ = }(k)/(√(81)) \\ \\ 6=\text{ }(k)/(9) \\ \\ k\text{ = 6}*9 \\ \\ k\text{ = 54} \end{gathered}`

Step 3

Let find y when x = 36

`\begin{gathered} y\text{ = }(k)/(√(x)) \\ \\ y\text{ = }(54)/(√(36)) \\ \\ y\text{ = }(54)/(6) \\ \\ y\text{ = 9} \end{gathered}`

Final answer

True