Answer:
[tex]C(t)=-202t+12,073[/tex]
Step-by-step explanation:
Let t represent the number of years since 2005.
We have been given that the number of people afflicted with the common cold C in the winter months steadily decreased by 202 each year from 2005 until 2010.
The number of people decreased in t years would be [tex]202t[/tex].
We are also told that in 2005, 12,073 people were afflicted. So 12,073 will be initial value.
We will represent our given information in an equation as [tex]y=mx+b[/tex], where,
m = Slope of line,
b = The initial value.
Since the number of people afflicted with the common cold C in the winter months steadily decreased, so slope will be negative.
Substitute the given values:
[tex]C(t)=-202t+12,073[/tex]
Therefore, our required equation would be [tex]C(t)=-202t+12,073[/tex].
