Question

The weight y of an object on Jupiter is proportional to the weight x of the object on Earth. An object that weighs 150 pounds on Earth would weigh 379.2 pounds on Jupiter. Write an equation that represents the situation. Then determine how much a rock that weighs 12.64 pounds on Jupiter would weigh on Earth. An equation that represents the situation is y= . A rock that weighs 12.64 pounds on Jupiter would weigh pounds on Earth.

Answer 1

Weight of an object=J
x=J/(379.2/150)
x=J/2.528

y=12.64/2.528
y=5

Hope this helps :)

Answer 2

Answer

As given

The weight y of an object on Jupiter is proportional to the weight x of the object on Earth.

i.e

$y\propto x$

y = kx

where k is the constant of proportionality.

An object that weighs 150 pounds on Earth would weigh 379.2 pounds on Jupiter.

put in the eqaution

y = kx

379.2 = k × 150

$k =\frac{379.2}{150}$

k = 2.528

As given

A rock that weighs 12.64 pounds on Jupiter .

put in the equation

y = kx

12.64 = 2.528 × x

$x = \frac{12.64}{2.528}$

x = 5 pounds

Thus

A rock that weighs 12.64 pounds on Jupiter would weigh 5 pounds on Earth.

Therefore

y = A rock that weighs 12.64 pounds on Jupiter would weigh 5 pounds on Earth.