Good Ol' Seagulls and Clams - Creating an equation based on data

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The discussion revolves around analyzing data on seagulls dropping clams to determine the relationship between drop height and the number of drops required to break the clam. An equation, y = 1/(0.045x) + 1, was derived for the last six data points, indicating a horizontal asymptote at 1 and a vertical asymptote at 0. The challenge lies in creating a piecewise function that connects the initial data point with the subsequent points effectively. Participants are focused on clarifying the problem being solved and how to integrate the first data point into the overall equation. The conversation highlights the complexities of modeling this biological phenomenon mathematically.
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So pretty much, I was given data (see below) about seagulls dropping clams and the number of drops required to break the clam.

Height of drops (x)/number of drops (y)
1.7 / 42
2 / 21
2.9 / 10.3
4.1 / 6.8
5.6 /5.1
6.3 / 4.8
7 /4.4
8 /4.1
10 /3.7
13.9 /3.2



So for the last six points I created the equation y= 1/ (0.045x) +1 which showed there was a horizontal asymptote of 1 (because you can't have less than one drop), a vertical asymptote of 0 (because you can't drop the clam from a distance from less than zero), and no x-intercepts. I'm trying to create a piece wise function, but I'm having trouble getting the first point to relate to the other points in an equation.
 
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