calcproject2 - Crows beaks are not strong enough to break...

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Crows’ beaks are not strong enough to break some nuts open. In order to open these nuts, they will repeatedly drop the nut on a hard surface until it opens. This investigation will explore the relationship between the height of the drop, and the number of drops needed to crack open large, medium, and small nuts (it is indicated that there is a different relationship between height and number of drops for each different size of nuts). The following is a graph of the number of drops needed to break open large nuts from increasing heights. Variables: Number of Drops = Independent Variable (y) plotted on the y (vertical) axis Height (m.) = Dependent Variable (x) plotted on the x (horizontal) axis Parameters: Number of Drops (y) > 0 Height (m.) (x) > 0 The type of function that models the behavior of this graph is a power function, specifically, a reciprocal function (y = x -z ). I chose this type of function because it can be seen that as the height increases, the number of drops decreases, approaching 0, indicating that there is a horizontal asymptote at y = 0. It can
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calcproject2 - Crows beaks are not strong enough to break...

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