Use analytical and algebraic methods to determine a mathematical model.

I have 2 questions that I am having a lot of trouble with. If anyone could help me, I would be very appreciative. Thank you :)

Use analytical and algebraic methods to determine a mathematical model for each of the following types that best fits the data. (Do not use the calculator or Excel)
‐ Linear
‐ Parabola
‐ Cubic
‐ Hyperbola

> Here is the data

My Group
Average number of successful shots out of 10 attempts
1m 2m 3m 4m 5m 6m 7m 8m 9m 10m
6.60 2.80 4.00 2.00 2.00 1.80 0.20 1.20 0.80 N/A

and here's question 2

> Describe the general shape of the data then use the data to describe qualitatively the relationship that exists between shooting difficulty and distance from the hoop.

My first question to you is, do you know what these models look like?

Quote:

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Originally Posted by MathNooB1

‐ Linear
‐ Parabola
‐ Cubic
‐ Hyperbola

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and have you tried to graph the data to find a potential match to these models?