A. If a person weighs 12 pounds on the Moon, using the graph, we can read the value on the y-axis which corresponds to 12 pounds on the Moon. The line passing through (60,10) gives us the weight on Earth for that corresponding value on the y-axis which is approximately 96 pounds. So, the person weighs 96 pounds on Earth if they weigh 12 pounds on the Moon.
B. If a person weighs 126 pounds on Earth, we can locate 126 pounds on the x-axis and find the corresponding value on the line passing through (60,10). From the graph, we can see that the line intersects the x-axis at approximately 140 pounds on Earth. Therefore, the person would weigh approximately 16 pounds on the Moon if they weigh 126 pounds on Earth.
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 16
of their weight on Earth.
A graph is shown in the xy-plane, and is labeled as Weight on Earth Versus Weight on Moon. The x-axis is labeled as Weight on Earth left parenthesis pounds right parenthesis, and the y-axis is labeled as Weight on Moon left parenthesis pounds right parenthesis. The values on the x-axis range from 0 to 180 in increments of 20, and the values on the y-axis range from 0 to 32 in increments of 4. A line starts from the origin, goes up, and passes through (60, 10).
A. If a person weighs 12 pounds on the Moon, how much does the person weigh on Earth? Explain your answer.
B. If a person weighs 126 pounds on Earth, how much does the person weight on the Moon? Explain your answer.
1 answer
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