Science:Math Exam Resources/Courses/MATH103/April 2005/Question 07 (c)
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Question 07 (c) 

Cholera is a disease that can spread through untreated sewage polluting the drinking water supply. Let be the fraction of people in a population who have the disease at time t. Assume that in a certain city, the fraction of people who have the disease increases at a rate proportional to the fraction of people who do not yet have the disease. (We will use as the constant of proportionality). (c) Use one clear sentence and a simple sketch to explain what happens to the fraction of infected individuals as time goes by. 
Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you? 
If you are stuck, check the hint below. Consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it! 
Hint 

Science:Math Exam Resources/Courses/MATH103/April 2005/Question 07 (c)/Hint 1 
Checking a solution serves two purposes: helping you if, after having used the hint, you still are stuck on the problem; or if you have solved the problem and would like to check your work.

Solution 

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Science:Math Exam Resources/Courses/MATH103/April 2005/Question 07 (c)/Solution 1 