Question

the relationship between the weight of an object on mars and its weight on earth is proportional. an object that weighs 50 pounds on earth would weigh 20 pounds on mars. write an equation to show the relationship between x, an objects weight on earth, and y, its weight on mars.

Explanation:

Step1: Set up the proportion

Let $x$ be the weight on Earth and $y$ be the weight on Mars. We know that the ratio of weights is constant. Given an object that weighs 50 pounds on Earth and 20 pounds on Mars, the proportion is $\frac{y}{x}=\frac{20}{50}$.

Step2: Simplify the ratio

Simplify $\frac{20}{50}$ to $\frac{2}{5}$. So the equation relating $x$ and $y$ is $y = \frac{2}{5}x$.

Answer:

$y=\frac{2}{5}x$