The Monthly Demand for a Certain Brand of Table Wine

Multiple Choice

The monthly demand for a certain brand of table wine is given by the demand equation where p denotes the wholesale price per case (in dollars) and x denotes the number of cases demanded. Find the rate of change of the price to the nearest hundredth of a cent per case when x = 1,000. ​

A) The rate of change of the price is -2.23 cents per case.
B) The rate of change of the price is -2.43 cents per case.
C) The rate of change of the price is -4.46 cents per case.
D) The rate of change of the price is -2.16 cents per case.