Need to see how to solve for both 5 points Consider this sce

(5 points) Consider this scenario: The number of people afflicted with the common cold C in the winter months steadily decreased by 209 each year from 2005 until 2010. In 2005, 12,032 people were afflicted. Find the linear function that models the number of people afflicted with the common cold Cas a function of the year t. (Let t represent the number of years since 2005.)

Solution

No. of afflicted people with common cold , every year = 209

In 2005 , t =0 ; C = 12032 people

Linear function: C(t) = m*t + k

k = 12032 when t=0 in 2005 ; slope , m = - 209

a) So, C(t) = 12032 - 209t

b) C(t) =0 in year : 12032 - 209t =0

t = 57.569 means 2005 +58 = year 2063