Chapter R, Problem 56RE

i.

To determine

To graph: A scatterplot of the data. The data relating daily profit P to the number of days after opening night appear below.

  $\begin{array}{ccccccc}\text{Days,}x& 0& 9& 18& 27& 36& 45\\ \begin{array}{l}\text{Profit,}P\\ \left(\text{in}\text{dollars}\right)\end{array}& 870& 548& -100& -100& 510& 875\end{array}$

ii.

To determine

To find: Do the data appear to fit a quadratic function?

iii.

To determine

To find: The quadratic function to the data points $\left(0,870\right),\left(18,-100\right)$ and $\left(45,872\right)$ .

iv.

To determine

To find: The estimate profit made on the $30th$ day.

v.

To determine

To find: The domain of this function.