Direct, Inverse, and Joint Variation
Write a formula that expresses the relationship described by
each statement. Use k for the constant in each case
6. m varies directly as p
8. u varies inversely as n.
18. c varies inversely as d, and c _ 5 when d _ 2.
Solve the variation problem
26. n varies directly as q, and n _ 39 when q _ 3. Find n
when q _ 8.
34.Gas laws. The volume of a gas is inversely proportional to
the pressure on the gas. If the volume is 6 cubic centimeters
when the pressure on the gas is 8 kilograms per square
centimeter, then what is the volume when the pressure is
12 kilograms per square centimeter?
38.Ideal waist size. According to Dr. Aaron R. Folsom
of the University of Minnesota School of Public Health,
your maximum ideal waist size is directly proportional
to your hip size. For a woman with 40-inch hips, the
maximum ideal waist size is 32 inches. What is the
maximum ideal waist size for a woman with 35-inch hips?
This provides examples of solving problems regarding direct, inverse, and joint variation.