A person weighs a different amount on other surfaces in space than they do on Earth because the gravitational pull of each surface is different than that of Earth. The table and graph show the weights of objects on Earth, Mars, and the Moon.
Weight on Earth and Mars
Weight on Earth, e
90 pounds
120 pounds
160 pounds
Weight on Mars, a
36 pounds
48 pounds
64 pounds
Weight on Earth and Moon
A graph has weight on earth (pounds) on the x-axis, and weight on moon (pounds) on the y-axis. A line goes through points (60, 10) and (120, 20).
If a person weighs 240 pounds on Earth, what would be the difference in weight of the same person on Mars and on the Moon (based on the table and graph)?
The person weighs 56 pounds more on Mars than on the Moon.
The person weighs 56 pounds more on the Moon than on Mars.
The person weighs 560 pounds more on Mars than on the Moon.
The person weighs 560 pounds more on the Moon than on Mars.
According to the table, a person weighing 240 pounds on Earth would weigh 96 pounds on Mars and 128 pounds on the Moon.
To find the difference in weight between Mars and the Moon, we subtract the weight on Mars from the weight on the Moon:
128 pounds (weight on the Moon) - 96 pounds (weight on Mars) = 32 pounds.
Therefore, the person weighs 32 pounds more on the Moon than on Mars.
Hence, the correct answer is: The person weighs 32 pounds more on the Moon than on Mars.
To find the difference in weight of the same person on Mars and on the Moon, we need to compare their weights based on the given information.
First, let's use the table to determine the weight of the person on Earth:
Weight on Earth, e:
90 pounds
120 pounds
160 pounds
The person weighs 240 pounds on Earth, which falls between 160 pounds and 120 pounds. So, the person's weight on Earth is between 120 pounds and 160 pounds.
From the table, we can see that the weight on Mars decreases by a factor of 2.5 compared to Earth:
Weight on Mars, a:
36 pounds
48 pounds
64 pounds
If the person weighs between 120 pounds and 160 pounds on Earth, their weight on Mars would be between (120 / 2.5) and (160 / 2.5):
Weight on Mars:
(120 / 2.5) = 48 pounds
(160 / 2.5) = 64 pounds
Now, let's use the graph to determine the weight of the person on the Moon:
The graph shows a line that passes through the points (60, 10) and (120, 20). The x-axis represents the weight on Earth, and the y-axis represents the weight on the Moon.
Since the person's weight on Earth is 240 pounds, we need to find the corresponding weight on the Moon.
From the graph, we can determine that if the weight on Earth is 120 pounds, the weight on the Moon is 20 pounds. Therefore, if the weight on Earth is 240 pounds, the weight on the Moon would be (20 / 120) * 240 = 40 pounds.
To find the difference in weight between Mars and the Moon, we subtract their weights:
Weight on Mars - Weight on the Moon:
64 pounds - 40 pounds = 24 pounds
Therefore, the correct answer is: The person weighs 24 pounds more on Mars than on the Moon.