The demand function for a product is given by p(n)=4400.8n2\displaystyle {p}{\left({n}\right)}={440}-{0.8}{n}^{{2}}, where p\displaystyle {p} is the price in dollars and n\displaystyle {n} is the quantity in thousands. If adverse weather conditions are driving the price up by $8 per week, find the rate at which the demand quantity for the product is changing when the price is $120.

The demand for this product is by   thousand items per week.