22. The function f(x)%=D: 4000 0 5 can be used to model how a disease spreads in an isolated population of 4000 people. x represents the time in days since the sickness started and f(x) represents the number of people who have become sick. Use a calculator to help answer the questions below. a. How many people have become sick by the tenth day? b. How fast was the disease spreading on the tenth day? Find the maximum point on f'. What does the x- coordinate represent? What does the y- coordinate represent? C. d. How many people have caught the disease when the curve is the steepest?

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4000
22. The function f(x) =
can be used to model how a disease spreads in an isolated population of
-05x
1+100e
4000 people. x represents the time in days since the sickness started and f (x) represents the number of
people who have become sick. Use a calculator to help answer the questions below.
a. How many people have become sick by the tenth
b. How fast was the disease spreading on the tenth
day?
day?
c. Find the maximum point on f'. What does the x-
coordinate represent? What does the y-
coordinate represent?
d. How many people have caught the disease when
the curve is the steepest?
e. Why would the slope of the curve decrease after a
period of time?
f. When was the rate of the spread of the disease
increasing the fastest?
Transcribed Image Text:4000 22. The function f(x) = can be used to model how a disease spreads in an isolated population of -05x 1+100e 4000 people. x represents the time in days since the sickness started and f (x) represents the number of people who have become sick. Use a calculator to help answer the questions below. a. How many people have become sick by the tenth b. How fast was the disease spreading on the tenth day? day? c. Find the maximum point on f'. What does the x- coordinate represent? What does the y- coordinate represent? d. How many people have caught the disease when the curve is the steepest? e. Why would the slope of the curve decrease after a period of time? f. When was the rate of the spread of the disease increasing the fastest?
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