Question

read the description of a proportional relationship. during hockey season, ellie stays in excellent shape. to keep up her conditioning in the off - season, she swims every day. there is a proportional relationship between the time (in seconds) ellie swims freestyle, x, and the number of feet she travels, y. after 3 seconds of swimming freestyle, ellie travels 9 feet. write the equation for the relationship between x and y. y =

Explanation:

Step1: Find the constant of proportionality

The formula for a proportional relationship is $y = kx$, where $k$ is the constant of proportionality. Given that when $x = 3$ seconds and $y=9$ feet, we find $k$ by $k=\frac{y}{x}$. So, $k=\frac{9}{3}=3$.

Step2: Write the equation

Substitute $k = 3$ into $y = kx$. The equation is $y = 3x$.

Answer:

$y = 3x$