find linear equation to solve

Question

 in 2002 common cold affected 8,040 people (c) dropped by 25 each yr (t) to 2012. find linear equation when reach under 6,000

Answer 1

Number of people affected by common cold, c, as a function of time, t:

c(t) = c₀ - 25t

c₀ = number at time zero = 8040

t = time in number of years

 

c(t) = 8040 - 25t

Note:  Your linear equation can be viewed as c = -25t + 8040

We want to know when c is less than 6000

8040 - 25t < 6000

-25t < -2040

t > -2040/(-25)

t > 81.6

Rounding to whole years call this 82 years after 2002

The year will be 2084