Question

The number of people afflicted with the common cold in the winter months steadily decreased by 205 each year from 2005 until 2010. in 2005, 12,025 people were inflicted. find the linear function that models the number of people inflicted with the common cold c as a function of the year, t. assume t=0 corresponds to the year 2005

Answer 1

To find the linear function that models the number of people inflicted with the common cold as a function of the year, we use the equation of a line. The slope is -205, and the y-intercept is 12,025. Therefore, the linear function is c = -205t + 12,025.

Step-by-step explanation:

To find the linear function that models the number of people inflicted with the common cold (c) as a function of the year (t), we will use the formula for the equation of a line: y = mx + b, where m is the slope and b is the y-intercept.

Given that the number of people afflicted decreased by 205 each year from 2005 until 2010, we can determine the slope:

Slope (m) = change in y / change in x = -205

Since the year 2005 corresponds to t=0, we can determine the y-intercept:

Y-intercept (b) = 12,025

Therefore, the linear function that models the number of people inflicted with the common cold is c = -205t + 12,025.