Exercise for Chapter $5$ Traffic Flow Theory $()$

Given that the relationship between speed $(u)$ and density $(k)$ obtained from actual data is $u=54\mathrm{.}5-0\mathrm{.}24k,$ draw the $u-k,q-u,$ and $q-k$ diagrams, where $q$ denotes flow. In the figure, clearly annotate the values of jam density $(k_j),$ free$-$flow speed $(u_f),$ capacity $($the maximum flow$),$ and density and speed corresponding to the capacity $(k_m$ and $($:$u_m\}.$