James is researching earthquakes for a science report. he is trying to come up with his own scale to rank the intensity of an earthquake. he notices that the difference in the intensity of the smallest earthquake, x, and the largest earthquake, y, is a magnitude of several hundred thousand. james comes up with a scale that allows him to show these differences and is easy to use and interpret. which of the following functions best model the situation above?
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.