The Monthly Demand for a Certain Brand of Perfume Is

Multiple Choice

The monthly demand for a certain brand of perfume is given by the demand equation where p denotes the retail unit price (in dollars) and x denotes the quantity (in 1-oz bottles) demanded. Find the rate of change of the price to the nearest hundredth of a cent per bottle when x = 1,000. ​

A) The rate of change of the price is -3.26 cents per bottle.
B) The rate of change of the price is -2.46 cents per bottle.
C) The rate of change of the price is 4.92 cents per bottle.
D) The rate of change of the price is -10.46 cents per bottle.