Question

read the description of a proportional relationship. akira is excited because her grandfather in new orleans is going to teach her how to make pralines! there is a proportional relationship between the amount of pecans (in cups) akiras grandfather uses, x, and the number of pralines he makes, y. he makes 8 pralines with 2 cups of pecans. write the equation for the relationship between x and y. y =

Explanation:

Step1: Find the constant of proportionality

The constant of proportionality $k$ in a proportional relationship $y = kx$ is found by dividing $y$ by $x$. Given that $y = 8$ (number of pralines) and $x=2$ (cups of pecans), $k=\frac{y}{x}=\frac{8}{2}=4$.

Step2: Write the equation

The general form of a proportional - relationship is $y = kx$. Substituting $k = 4$ into the equation, we get $y = 4x$.

Answer:

$y = 4x$