James is researching earthquakes for a science report. he is trying to come...
the answer is B) logarithmic
In the given situation, James wants to find a way to distinguish between a very small intensity, x, and a very large intensity, y. To plot this with most graphs, it would involve using an axis that has a magnitude range of several hundred thousand. However, a logarithmic function allows for a single digit change to represent an increase in magnitude by a factor of ten.
Therefore, the situation is best modeled by a logarithmic function.