For a Rat Learning to Run a Maze, the Learning $S ( t ) = 10 + 8 e ^ { - 0.12 }$

question 74

Essay

For a rat learning to run a maze, the learning curve is given by $S ( t ) = 10 + 8 e ^ { - 0.12 }$ , where $S ( t )$ is the time it takes to run the maze in seconds after $t$ days. Use a graphing calculator or computer to graph of the learning curve and determine after how many days the rat is able to run the maze in $15$ seconds.

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Definitions:

Memory Cell

Small lymphocyte that is derived from a B cell or T cell and that rapidly responds to a subsequent exposure to the same antigen.

Mast Cell

A type of white blood cell part of the immune and neuroimmune systems, which releases histamine and other substances during inflammatory and allergic reactions.

Macrophage

A type of white blood cell part of the immune system, involved in the detection, phagocytosis, and destruction of bacteria and other harmful organisms.

Red Blood Cell

A type of blood cell that is responsible for carrying oxygen from the lungs to the body's tissues and returns carbon dioxide from the tissues back to the lungs.