205k views
0 votes
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.

User Scherand
by
6.6k points

2 Answers

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

y=12.64/2.528
y=5

Hope this helps :)
User Singam
by
7.0k points
4 votes

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 =(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 = (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.

User Mr Mike
by
7.0k points