The town of Smallsville was founded in 1900. Its population $y$ (in hundreds) is given by the equation $$y = -0.1x^4 + 0.5 x^3 + 0.9 x^2 - 4.5 x + 6,$$ where $x$ is the number of years since 1900. Use a the graph in the window $0 \le x \le 10$ , $-2 \le y \le 15$.

a)   What was the population of Smallsville when it was founded? people

b)   When did Smallsville become a ghost town (nobody lived there anymore)?
In (month, do not abbreviate) of (year)

c)   What was the largest population of Smallsville after 1903? (round to nearest whole person)

d)   In what month did Smallsville reach that population?
In (month, do not abbreviate) of (year)