
A clinical study was done, calculating the percent of kids that brush their teeth twice a day.
The following data was obtained.

Which is the best term to describe this data?

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Correct Answer: D. Logarithmic
First we need to decide if the function is increasing or decreasing. Although the data shows an increasing trend, we are not allowed to eliminate any of the answer choices. Now let’s see how it’s increasing. Judging from the huge jumps in percent over the short time in the beginning we can rule out Linear and S-curve, as those functions do not rapidly increase. Finally let’s look towards the end of the data. It appears to be converging to 95. This allows us to rule out the exponential and the quadratic, as these functions continue off towards infinity or zero (if its exponentially decreasing). This leaves us with choice D.
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