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: Find the constant of proportionality

Since the relationship is proportional, the constant of proportionality $k=\frac{y}{x}$. Given $x = 50$ (weight on Earth) and $y = 20$ (weight on Mars), then $k=\frac{20}{50}=0.4$.

Step2: Write the proportional - equation

The general form of a proportional equation is $y=kx$. Substituting $k = 0.4$ into the equation, we get $y = 0.4x$.

Answer:

$y = 0.4x$