Civil Engineering—City Growth: A city planner has projected that the population of a newly developed suburb will grow for the next four years according to the mathematical model
f(x) = 10,000 + 20x 3/2 + 30x 0 ≤ x ≤ 48
where x is the number of months from the present, and f(x) is the suburb’s population.
(a) Evaluate f(12) and interpret.
(b) Find the slope of the secant line for x = 12 and Δx = 24 and interpret.
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