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.

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.

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) 12 * 6 = ____

B) 1/6 * 126 = ____

y = x/6

A. Well, if a person weighs 12 pounds on the Moon, then on Earth they must weigh 12 multiplied by 6! So, they would weigh... wait for it... 72 pounds! It's like magic, but with math.

B. Now, if a person weighs 126 pounds on Earth, we gotta divide that by 6 to calculate their weight on the Moon. So, grab your lunar calculator and... tada! Their weight on the Moon is an astounding 21 pounds! That's one small jump for man, one giant leap for diet plans.

A. If a person weighs 12 pounds on the Moon, we can calculate their weight on Earth using the given information that the person's weight on the Moon is 1/6 of their weight on Earth.

Let's denote the person's weight on Earth as "W".

We can set up the following equation based on the given information:
12 pounds = W/6

To solve for W, we can multiply both sides of the equation by 6:
12 pounds * 6 = W

Therefore, the person weighs 72 pounds on Earth.

B. If a person weighs 126 pounds on Earth, we can calculate their weight on the Moon using the same ratio as mentioned earlier, which is 1/6.

Let's denote the person's weight on the Moon as "M".

We can set up the following equation based on the given information:
126 pounds = M/6

To solve for M, we can multiply both sides of the equation by 6:
126 pounds * 6 = M

Therefore, the person weighs 756 pounds on the Moon.

A. To calculate the person's weight on Earth, we need to use the fact that the person's weight on the Moon is 1/6 of their weight on Earth. Let's say the person weighs W pounds on Earth. According to the given information, their weight on the Moon would be 1/6 of W pounds. Hence, we can set up an equation:

Weight on Moon = 1/6 * Weight on Earth

Substituting the given information, we have:

12 = 1/6 * W

To find W, we can multiply both sides of the equation by 6 to get rid of the fraction:

12 * 6 = 1/6 * W * 6
72 = W

Therefore, the person weighs 72 pounds on Earth.

B. Similarly, to calculate the person's weight on the Moon, we can use the same ratio of 1/6. Let's say the person weighs X pounds on the Moon. According to the information given, their weight on Earth is 6 times their weight on the Moon. Thus, we can set up the equation:

Weight on Earth = 6 * Weight on Moon

Substituting the given weight on Earth as 126 pounds, we have:

126 = 6 * X

To find X, we divide both sides of the equation by 6 to isolate X:

126 / 6 = 6 * X / 6
21 = X

Therefore, the person weighs 21 pounds on the Moon.