Question

What is the equation that represents the relationship between the weight y on Jupiter and the weight x on Earth, given that an object weighing 150 pounds on Earth would weigh 379.2 pounds on Jupiter?

a) y = 2.528x
b) y = 0.396x
c) y = 150x
d) y = 379.2x

If a rock weighs 12.64 pounds on Jupiter, what would it weigh on Earth based on the proportional relationship?

a) 31.87 pounds
b) 5.01 pounds
c) 0.084 pounds
d) 50.34 pounds

Answer 1

The equation representing the relationship between the weight on Jupiter (y) and Earth (x) is y = 2.528x. To convert a Jupiter weight back to Earth's weight, the equation x = y / 2.528 is used. A rock weighing 12.64 pounds on Jupiter would thus weigh approximately 5.00 pounds on Earth.

Step-by-step explanation:

The equation that represents the relationship between the weight y on Jupiter and the weight x on Earth is derived from the given data: an object weighing 150 pounds on Earth would weigh 379.2 pounds on Jupiter. To find the proportional multiplier, we divide the weight on Jupiter by the weight on Earth: 379.2 ÷ 150, which results in 2.528. Therefore, the equation is y = 2.528x. Now, to find the weight of a rock on Earth, if it weighs 12.64 pounds on Jupiter, we rearrange the equation to solve for x: x = y ÷ 2.528. Substituting the given weight on Jupiter, 12.64 ÷ 2.528 equals approximately 5.00 pounds, rounding off to two decimal places.