Question

Let P = f(t) = 1100(1.039)^t be the population of a community in year t. (a) Evaluate f(0) = ___ (b) Evaluate f(10) = _ (retain at least 3 decimal places) (c) Which of these statements correctly explains the practical meaning of the value you found for f(10) in part (b)? (select all that apply if more than one is correct) A. The initial population of the community. B. The growth rate per decade of the population. C. What the population will be in 10 years. D. How long it will take for the population to increase by 10 people. E. How many years it takes for the population to reach 10,000 people. F. How much the population will increase in 10 years. G. None of the above (d) If the percentage growth rate remains constant, approximately when will the population reach 2900 people? In ___ years (round to the nearest whole year).

          Let P = f(t) = 1100(1.039)^t be the population of a community in year t.
(a) Evaluate f(0) = _____
(b) Evaluate f(10) = _____ (retain at least 3 decimal places)
(c) Which of these statements correctly explains the practical meaning of the value you found for f(10) in part (b)? (select all that apply if more than one is correct)
A. The initial population of the community.
B. The growth rate per decade of the population.
C. What the population will be in 10 years.
D. How long it will take for the population to increase by 10 people.
E. How many years it takes for the population to reach 10,000 people.
F. How much the population will increase in 10 years.
G. None of the above
(d) If the percentage growth rate remains constant, approximately when will the population reach 2900 people?
In _____ years (round to the nearest whole year).

Added by Jimmy W.

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