$3.$ The demand for water during a fire is often the most important factor in the design of distribution storage tanks and pumps. For communities with populations less than $200,000,$ the demand Q $($in gallons$/$min$)$ can be calculated by:

where P is the population in thousands.

a$.$ Plot the water demand Q as a function of the population P $($in thousands$)$ for $0<=$ P $<=200.$

b$.$ Label the axes and provide a title for the plot.