A chemist is studying dissolved gases in the ocean. She graphs her data as shown below.
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SOLUTION
If the table represents an inverse variation, it means that y is inversely proportional to x, written as
Removing the proportionality sign and introducing a constant k, we have
In the first column, we have x = -4 and y = 3.5. Substituting these values for x and y, we have
So, if it's an inverse variation, the relationship would be
In the second column, x = -2 and y = 7.
Now lets substitute the value of x for -2. If we get y to be 7, then the relationship is an inverse variation
We have
Since we got y = 7, the relationship is therefore an inverse variation.
The constant k = -14
The equation for the inverse variation is