1. Solve the following equation for x:
If y varies inversely as x and y = -3 when x = 9, find y when x = 81
Kim lives in a suburb and drives to work in a city. The time t (in hours) it takes her to get to work varies inversely with her average driving speed s (in miles per hour). When she averages 20 miles per hour in heavy traffic, it takes her 1.5 hours to get to work. How long would the trip take if her average driving speed is 50 miles per hour in light traffic?
Boyle’s law says that the volume V of a gas held in a container at a constant temperature varies inversely with the pressure P on the gas. The volume of a particular gas is 8 liters at a pressure of 3 atmospheres. What is the pressure when the volume is 6 liters?
The time t (in hours) that it takes a pump to empty a tank of water varies inversely with the pumping rate r (in gallons per hour). If it takes 3 hours to empty a tank of water when the pumping rate is 80 gallons per hour, how long does it take to empty the tank when the pumping rate is 60 gallons per hour?
If y varies inversely with x and y = -18 when x = 16, find x when y = 9.