# The number of people infected with a disease is modelled by the formula N = 300 100e 0.5t where

## Question:

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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**Related Book For**

## Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

**ISBN:** 9781292183398

1st Edition

**Authors:** Greg Attwood

**Question Details**

Chapter #

**14**Section: Exercise 14C

Problem: 3

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