The number of people infected with a disease is modelled by the formula N = 300

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The number of people infected with a disease is modelled by the formula N = 300 − 100e−0.5t where N is the number of people infected with the disease and t is the time in years after detection.

a. How many people were first diagnosed with the disease?

b. What is the long term prediction of how this disease will spread?

c. Sketch the graph of N against t for t > 0.

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