Identify the variation constant and the equation of variation

Question

1)Simplify:

5√-1/3125

2)Find the variation constant and a equation of variation where y varies directly as x and y=15 when x=3

The variation constant of k =_______

The equation of variation is y=_______

Answer 1

Part 1:

5 sqrt(-1/3125)

3125 = 25*25*5 so this is

5 sqrt(-1/(25*25)*1/5)

5/25 sqrt(-1/5)

1/5 sqrt(-1/5)

We can go one step farther, but that doesn't really simplify it more:

1/5 i sqrt(1/5)

where i = sqrt(-1)

Part 2:

Read this page: http://www.purplemath.com/modules/variat...

and try to find the answer yourself.

Then note that 15 = 5 × 3.

Answer below, but do try it yourself first.

Find where it says "varies directly as" on that page.

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k = 15/3 = 5

y=5x