1.) The volume (v) of a gas in a container is inversely proportional to the pressure (p). If the volume is 33 cubic centimeters at a pressure of 8 pounds, find the pressure when the volume is 42 cubic centimeters.
2.) The time (t) required to drive a fixed distance varies inversely to the speed (s). It takes 2 hours to drive from Tacloban to Ormoc at a speed of 60 kph. How long will it take to drive the same distance at a speed of 80 kph?
3.) The kinetic energy (E) of an object varies directly as it's mass (m) and the square of its velocity (v). A mass of 3.0 kilograms and a velocity of 17 m/s has a kinetic energy of 433.5 joules. Find the kinetic energy for a mass of 3.5 kilograms and a velocity of 26 m/s.
4.) JC’s paycheck (P) varies directly as the number of hours (h) worked. The pay is Php 1 500 for working 20 hours. Find the pay for working 30 hours.
5.) The recommended dose in milligrams (mg) varies directly with the child’s body weight (kg) in kilograms. The correct dosage for a 10-kg child is 135 milligrams. What would be the correct dosage for an 8-kilogram child?