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?



