Apply Joint or Combined variation in the given real-life situations below. 1. The volume of a pyramid varies jointly as its height and the area of its base. A pyramid with a height of 10 feet and a base with area of 30 square feet has a volume of 300 cubic feet. Find the volume of a pyramid with a height of 24 feet and a base with an area of 30 square feet. 2. The volume of gas varies directly as the temperature and inversely as the pressure. If the volume is 100 cubic centimeters when the temperature is 400°K and the pressure is 40 pounds per square centimeter, what is the volume when the temperature is 150 % and the pressure is 15 pounds per square centimeter?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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Apply Joint or Combined variation in the given real-life situations below. 1. The volume of a pyramid varies jointly as its height and the area of its base. A pyramid with a height of 10 feet and a base with area of 30 square feet has a volume of 300 cubic feet. Find the volume of a pyramid with a height of 24 feet and a base with an area of 30 square feet. 2. The volume of gas varies directly as the temperature and inversely as the pressure. If the volume is 100 cubic centimeters when the temperature is 400°K and the pressure is 40 pounds per square centimeter, what is the volume when the temperature is 150 % and the pressure is 15 pounds per square centimeter?
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