MATHEMATICS · Single correct · AP · Calculus BC · Differential Equations · Differential Equations
Problem
Two cities, A and B, each have a population that satisfies the same carrying capacity of 500 people but different growth parameters.
City A: dtdy=0.03y(500−y)
City B: dtdy=0.06y(500−y)
If both cities currently have 200 residents, which statement best describes their present growth rates?
(a) City A is growing faster than City B.
(b) Both cities are currently growing at the same rate.
(c) City B is growing faster than City A.
(d) Neither city is currently growing because the growth rate is zero for both.