he weight of an object on the moon varies directly with its weight on the earth. If an object weighs 144 pounds on the earth, it weighs 24 pounds on the moon.

Question

If an object weighs 32 pounds on the moon, how many pounds does it weigh on the earth?

Answer 1

To find the weight of the object on the earth, we can use the equation of variation:

Weight on the moon/Weight on the earth = k

We know that when the weight on the earth is 144 pounds, the weight on the moon is 24 pounds. Therefore, we can write:

24/144 = k

Simplifying this equation gives us:

k = 1/6

Now, let's use this value of k to find the weight on the earth when the weight on the moon is 32 pounds:

32/x = 1/6

Cross multiplying gives us:

6 * 32 = x

Therefore, the weight of the object on the earth is 192 pounds.