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Crows Dropping Nuts

SL Type 2

Name: Anis Mebarek

Teacher: Mr. Grimwood

Crows dropping nuts:

The table that is provided shows us the average of height and the number of times it takes to break the large nuts from that height.

Line graph depicting the table above, showing the frequency of drops by the height of the drop for a large nut.

There numerous variables used for this graph. One such is the height at which the nut should be dropped affected the frequency, and this variable is put into an average. Another variable is the frequency of drops is also an average, where is it impossible to have 6.8 times of drops to open a nut. This has been converted into an average because it provides much clearer data, which could be put into one graph and distinguish the equation for it. Another variable is the size of the nut, where “large” is not very scientific and can vary in size and shape, which will consequently alter the frequency of drops it takes for it to crack open. Hence by creating a size range for the “large” nut will help to identify and shape the model better.

One such parameter that could be seen from the graph is the asymptotes, one on the y-axis and the other on the x-axis. This clearly suggests that this is not a precise graph, where both axis have infinite possibilities. For example when the height of the drop is too low, the frequency of drops is too high, therefore, in the real world this would not be possible, therefore suggesting parameters for the graph would have to be done. Yet the graph can also not touch the axis, as the model will not work as well, as at 0m a y amount of times the nut has to be dropped. Therefore this creates a paradox.

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One function that could gimmick the original is

Or the other function that could model this graph is the inverse exponential, where .

This function applies better to the “large nut” graph, as this shows only one graph unlike the inverse of x, this also shows the two isotopes that the “large nut” graph has, therefore showing a clear relevance between each other.

And this is clearly seen when comparing the original “large nut” graph (red line), to the inverse of x (blue line) and the inverse exponential (purple line). Therefore I will find ...

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