Question

read the description of a proportional relationship. ever since hunter was a small child, his favorite food has always been carrots. he likes them so much he wants to plant a garden in his backyard just to grow carrots. there is a proportional relationship between the size of hunters garden (in square feet), x, and the number of carrots he can grow at a time, y. if his garden is 2 square feet, he can grow 10 carrots at a time. 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 $x = 2$ and $y=10$, we find $k$ by $k=\frac{y}{x}$. So, $k=\frac{10}{2}=5$.

Step2: Write the equation

Substitute $k = 5$ into $y = kx$. We get $y = 5x$.

Answer:

$y = 5x$