Model the Data Using an Exponential Function $f ( x ) = A b ^ { x }$

question 3

Essay

Model the data using an exponential function $f ( x ) = A b ^ { x }$ . $$\begin{array} { | l | l | l | } \hline \boldsymbol { x } & 1 & 2 \\\hline f ( x ) & 170 & 289 \\\hline\end{array}$$

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Definitions:

Prisoner's Dilemma

A theoretical game in game theory showing why two rational individuals might not cooperate even if it appears that it is in their best interest to do so.

Reciprocity

A social exchange principle where the actions of one individual lead to a reciprocal action by another, often seen in cooperative behaviors amongst animals and humans.

Altruism

Selfless concern for the well-being of others, where individuals may act to benefit others even at a cost to themselves.

Kin Selection Theory

A theory in evolutionary biology that predicts organisms will behave altruistically towards their relatives to increase the chances of their genetic traits being passed on to future generations.