Question

The gravitational pull of the Moon is not as great as that on Earth. In fact, if a person checks their weight on the Moon, it will be only 1/6 of their weight on earth

What does each ordered pair on the line represent? 7. Write an equation to represent the relationship shown in the graph. 8. Is this a proportional relationship? Justify your answer. 9. In this problem situation, do all the points on the graph make sense? 310 10. Determine the weight of a person on Earth given his weight on the Moon. a. 12 lb b. 21 lb c. 36 lb

Answer 1

Explanation:

There is no graph given in the question, so we cannot answer questions 1 and 9.

Let x represent the weight of a person on Earth, and let y represent their weight on the Moon. The equation for the relationship between weight on Earth and weight on the Moon is: y = x/6.

Yes, this is a proportional relationship, because the ratio of y to x is always the same (1/6), regardless of the weight of the person. In other words, if you double the weight of a person on Earth, their weight on the Moon will also double, and the ratio between the two weights will remain 1/6.

To determine the weight of a person on Earth given their weight on the Moon, we need to solve the equation y = x/6 for x, given that y is the weight on the Moon. Multiplying both sides of the equation by 6, we get: x = 6y.

So, if the weight of the person on the Moon is 36 pounds (as given in option c), then their weight on Earth would be: x = 6y = 6(36) = 216 pounds. Therefore, option c is the correct answer.