Question

An object's weight on the Moon, $M,$ varies directly as its weight on Earth, $E .$ Neil Armstrong, the first person to step on the Moon on July $20,1969$, weighed 360 pounds on Earth (with all of his equipment on) and 60 pounds on the Moon. What is the Moon weight of a person who weighs 186 pounds on Earth?

Name: Problem 22, Chapter 2: Precalculus
Uploaded: 2021-08-23T01:39:12-08:00
Duration: 1 min 6 s
Channel: Erika Bustos
Description: An object's weight on the Moon, M, varies directly as its weight on Earth, E . Neil Armstrong, the first person to step on the Moon on July 20,1969, weighed 360 pounds on Earth (with all of his equipment on) and 60 pounds on the Moon. What is the Moon weight of a person who weighs 186 pounds on Earth?

   An object's weight on the Moon, $M,$ varies directly as its weight on Earth, $E .$ Neil Armstrong, the first person to step on the Moon on July $20,1969$, weighed 360 pounds on Earth (with all of his equipment on) and 60 pounds on the Moon. What is the Moon weight of a person who weighs 186 pounds on Earth?

Precalculus

Robert Blitzer 6th Edition

Chapter 2, Problem 22

Instant Answer

Solved by Expert Erika Bustos

08/23/2021

Step 1

This can be represented as $M = kE$, where $M$ is the weight on the moon, $E$ is the weight on Earth, and $k$ is the constant of variation. Show more…

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An object's weight on the Moon, $M,$ varies directly as its weight on Earth, $E .$ Neil Armstrong, the first person to step on the Moon on July $20,1969$, weighed 360 pounds on Earth (with all of his equipment on) and 60 pounds on the Moon. What is the Moon weight of a person who weighs 186 pounds on Earth?

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Key Concepts

Direct Variation

Direct variation describes a relationship between two quantities where one quantity is a constant multiple of the other. This means that when one quantity changes, the other changes proportionally, maintaining a fixed ratio.

Constant of Proportionality

The constant of proportionality is the fixed ratio that relates the two quantities in a direct variation. It is determined by dividing one quantity by the corresponding value of the other and is used to compute unknown values within the relationship.

Scaling and Proportional Reasoning

Scaling involves applying the constant of proportionality to convert one measurement to another, such as translating weight from one context to another. Proportional reasoning is used to set up and solve equations based on these fixed ratios, allowing the prediction of one variable when the other is known.

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