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
2 answers:
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 = 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 = 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 = 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.
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The solution to this system is (x, y) = (8, -22).
The y-values get closer together by 2 units for each 2-unit increase in x. The difference at x=2 is 6, so we expect the difference in y-values to be zero when we increase x by 6 (from 2 to 8).
You can extend each table after the same pattern.
In table 1, x-values increase by 2 and y-values decrease by 8.
In table 2, x-values increase by 2 and y-values decrease by 6.
The attachment shows the tables extended to x=10. We note that the y-values are the same (-22) for x=8 (as we predicted above). That means the solution is ...
... (x, y) = (8, -22)
