$\"\"$

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(a)

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Graph:

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Graph the data using regression capabilities:

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$\"\"$

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Observe the graph:

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The exponential model equation is $\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$

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(b)

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Graph:

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Graph the model equation $\"\"$ and data:

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$\"\"$

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$\"\"$

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(c)

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The exponential model equation is $\"\"$ .

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Apply derivative on each side with respect to $\"\"$ .

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$\"\"$

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$\"\"$

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The rate of growth of the model is $\"\"$ .

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When $\"\"$ the rate of growth is $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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When $\"\"$ the rate of growth is $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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(a)

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Graph:

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$\"\"$

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The exponential model equation is $\"\"$ .

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(b)

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Graph:

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$\"\"$

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(c) $\"\"$ and $\"\"$ .