ca notes 12-13

3.7 variation .notebook
Oxygen while climbing a mt.
oxygen
income
Sales on commission
December 13, 2016
sales
height
3.7 variation .notebook
December 13, 2016
Variation
Direct variation = a situation where as one variable
increases/decreases so does the other.
y = kx
Inverse variation = a situation where as one variable
increases the other decreases and visa
versa.
y=
k
1
or k
x
x
Joint variation = direct variation with more than one
variable.
y = kxz
Make an equation to represent each statement below.
1. y varies directly as p.
2. e varies directly as m and c2.
3. d varies inversely as r.
3.7 variation .notebook
December 13, 2016
4. a varies directly as b and inversely as the square of c.
If a = 7 when b = 9 and c = 6, find a when b = 4 and
c = 8.
5. The distance a spring will stretch varies directly as
the force applied to the spring. A force of 12 lbs. is
needed to stretch the spring 9 in. What force is needed
to stretch it 15 in.?
6. One's IQ varies directly as a person's mental age
and inversely as that person's chronological age. A
person with a mental age of 25 and a chronological
age of 20 has an IQ of 125. What is the
chronological age of a person with a mental age of 40
and an IQ of 80?
3.7 variation .notebook
December 13, 2016
pg 388
1,5,7,11,13,17,
21,27,29,33