Practice Solving Direct and Inverse Variation Topic Index | Algebra2/Trig Index | Regents Exam Prep Center

Solve the following variation problems using the proper formula.

 1 Variable M varies directly with p.  If M = 75 when p = 10, find M when p = 16.

 2 R varies inversely with variable T.  If R is 168 when T = 24,  find R when T = 30.

 3 Variable Y varies jointly with P and Q.   If Y = 144 when P = 12 and Q = 8, find Y when P = 15 and Q = 25.

 4 The volume, V, of a gas varies inversely as the pressure, p, in a container.  If the volume of a gas is 200cc when the pressure is 1.6 liters per square centimeter, find the volume (to the nearest tenth) when the pressure is 2.8 liters per sq centimeter..

 5 Variable T varies directly with the square of m. If T is 8 when m = 2, find T when m = 4.

 6 In science, one theory of life expectancy states that the lifespan of mammals varies inversely to the number of heartbeats per minute of the animal.  If a gerbil's heart beats 360 times per minute and lives an average of 3.5 years, what would be the life expectancy of a human with an average of 72 beats per minute?  Does this theory appear to hold for humans?

 Topic Index | Algebra2/Trig Index | Regents Exam Prep Center Created by Frederick Roberts