Math Portfolio Type II: Fishing Rods

Math Portfolio Type II: Fishing Rods

A fishing rod can only work well if there are numerous “guides” along the blank of the rod to guide the fishing lines. Having numerous “guides” along the blank of the rod provides greater castability, greater hooking power, and most importantly prevents the line from twisting and tangling up. A fishing rod without the “guides” would have little use since the lines will most likely tangled up before it even enters the water.

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In this portfolio, I would have to develop a mathematical model for the effective placement of line guides on a fishing rod. A mathematical model for the placement of line guides on a fishing rod has many applications in the real world. One of the main benefits would be helping fishing rod companies in placing their “guides” in the most optimal positions so the rod can function better than their competitors. The fishing rod that I would have to develop a model on would be Leo’s fishing rod. Leo’s fishing rod is 230cm long and has eight guides along it with a ninth at the very tip of the rod. The table below
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Middle

b = -3a + 13

Now substitute the value of B into the B variable in Eq.5 and simplify the entire equation until the variable A is found.

8a+2(-3a+13)+10= 38

8a + (-6a+26) +10= 38

8a-6a=38-10-26