ANSWER
The linear equation is y = 1/6 x where x is the weight on Earth and y is the weight on the Moon.
Step-by-step explanation
A direct variation of a variable with the other is :
where k is the constant of proportionality.
In this problem, we know that when something weights 360 pounds on Earth it weights 60 pounds on the Moon:
• y: weight on the Moon
,
• x: weight on Earth
With this information we can find the constant of proportionality:
Therefore, the linear equation that represents this is:
For each row of the table, we can find the weight on the Moon knowing the weight on Earth with this equation.
If an object weights 0 pounds on Earth, the weight on the Moon will be 0 pounds.