Question

the weight of an object on earth is proportional to the weight of an object on the moon. a 150 - pound object would weigh approximately 25 pounds on the moon. the weight on earth is represented by x and the weight on the moon is represented by y. write an equation that represents this scenario. (keep k as a fraction)

Explanation:

Step1: Recall the proportional - relationship formula

Since $x$ (weight on earth) is proportional to $y$ (weight on moon), the general formula for a proportional relationship is $x = ky$, where $k$ is the constant of proportionality.

Step2: Find the value of $k$

We know that when $x = 150$ (weight on earth in pounds) and $y=25$ (weight on moon in pounds). Substitute these values into $x = ky$: $150=k\times25$. Solving for $k$, we get $k=\frac{150}{25}=6$.

Answer:

$x = 6y$