Problema Solution
Suppose the population of a country can be predicted by the formula P=f(t)=140(0.95)^t. Where P is measured in thousands of people and t is measured in years after 1990. Evaluate and interpret in full detail with units the quantity: (f(6)-f(1))/(6-1). By what percent does the population decrease each year?
Answer provided by our tutors
t is measured in years after 1990, therefore:
f(6) is the population in thousands of people for 1996
f(1) is the population in thousands of people for 1991
(6-1) represents that 1991 to 1996 is a five year period
(f(6)-f(1)) represents the difference in population from 1996 to 1991
(f(6)-f(1))/(6-1) then represents the average increase or decrease of population in thousands of people over the years 1991 to 1996
(f(6)-f(1))/(6-1) = -6.01
the population decrease is approximately 6,000 per year