Thomas R. answered • 04/30/18

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This is one of the better questions posted. Far too many students ask us to analyze a graph we don't see, a table that isn't there, and so on. You did a nice job on yours, and get a (hopefully) helpful answer in return.

Inverse variation isn't complicated. While direct variations look like this:

Y = k * X

Inverse variation has this form:

Y = k / X

Your 3 workers in 8 weeks is a point in the form (3,8) and can be plugged in as:

8 = k / 3

Multiply both sides by 3 to solve:

24 = k

Now, you know the formula is:

Y = 24 / x.

The first value in your table is:

Y = 24 / 2 = 12

...and you can easily find the rest. Of course, I used the standard variables, but your question said (n,t), so adjust accordingly.

Krystal W.

04/30/18