Assignment:
Direct, Inverse, and Joint Variation
Write a formula that expresses the relationship described by each statement. Use k for the constant in each case
Q1. m varies directly as p
Q2. u varies inversely as n.
Q3. c varies inversely as d, and c _ 5 when d _ 2.
Solve the variation problem
Q1. n varies directly as q, and n _ 39 when q _ 3. Find n when q _ 8.
Q2. 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?
Q3. 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?
Provide complete and step by step solution for the question and show calculations and use formulas.