The table below shows the profit, P(x)\displaystyle {P}{\left({x}\right)}, in dollars, from selling x\displaystyle {x} items.

x\displaystyle {x}1236114
P(x)\displaystyle {P}{\left({x}\right)}100.2116.6123.284.2100.2-451

Using your calculator to do a quadratic regression, express the profit as a function of the number of items sold.
P(x)=\displaystyle {P}{\left({x}\right)}=  
Round all numbers to 1 decimal place.

Using your quadratic regression, estimate the profit from selling 12 items?
Round to 2 decimal places.

Using your quadratic regression, estimate the number of items that need to be sold to make a profit of $51.6 ?