Lesson: Joint Variation Glencoe • Algebra 2 • Glencoe • Algebra 2 • Common Core

Mathematics

In this lesson, we will learn how to write an equation to describe joint variation and how to use proportions to find other sets of values to solve real-world problems.

Sample Question Videos

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Worksheet

Q1:

The kinetic energy of a moving object varies jointly with its mass and the square of its velocity . If an object weighing 40 kilograms with a velocity of 15 meters per second has a kinetic energy of 1,000 joules, find the kinetic energy if the velocity is increased to 20 meters per second.

Q2:

The horsepower (hp) that a shaft can safely transmit varies jointly with its speed in revolutions per minute (rpm) and the cube of the diameter. A shaft with a diameter of 3 inches can transmit 45 hp at 100 rpm. What is the diameter of a shaft that can transmit 60 hp at 150 rpm?

Q3:

varies jointly as and the cube root of . If when and , find when and .

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