Solve the Problem by Using a Nonlinear System $\# 1$ And City

Multiple Choice

Solve the problem by using a nonlinear system.
-In 1982, City $\# 1$ and City $\# 2$ had the same population. The population of City $\# 2$ continued to increase steadily, while the rate of population growth of City $\# 1$ (although initially less than that of City \#2) eventually overtook the growth rate of City \#2. The populations of two cities are modeled by the following equations: City $\# 1: y=2 x^{2}+15 x+1192$ ; City $\# 2: y=25 x+1192$ , where $x=0$ corresponds to the year 1982. In what year after 1982 did the cities have the same population?

A) 1987
B) 1988
C) 1986
D) 1985