I just need help finding U$\_$s and plotting speed versus density and volume versus speed

Results of traffic flow studies on a highway indicate that the flow$-$density relationship can be described by the expression.

$q=u_{f}k-\frac{u_f}{k_j}{k}^2$

If speed and density observations give the data shown below, develop an appropriate expression for speed versus density for this highway. $($Use the following as necessary: $k.$ Assume $u$ is in mi$/$h and $k$ is in

$ve\frac{h}{m}i.$ Do not include units in your answer.$)$

$u_s=0\mathrm{.}5139k+66\mathrm{.}4352$

Determine the density $($in veh$/$mi$)$ at which the maximum volume will occur as well as the value of the maximum volume $($in veh$/$h$).$

density at maximum volume

$ve\frac{h}{m}i$

maximum volume

$$ veh$/$h

of $1$ MB$.)$

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