Question

read the description of a proportional relationship. akiva 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) akivas grandfather uses, x, and the number of pralines he makes, y. the equation that models this relationship is y = 4x. how many cups of pecans does akivas grandfather use to make 20 pralines? write your answer as a whole number or decimal. cups of pecans

Explanation:

Step1: Identify the given equation

The proportional - relationship equation is $y = kx$, where $y$ is the number of pralines, $x$ is the amount of pecans in cups, and $k$ is the constant of proportionality. But we are not given $k$. However, we can assume the general form and solve for $x$ when $y = 20$.

Step2: Rearrange the equation to solve for $x$

From $y=kx$, we can get $x=\frac{y}{k}$. Since we are not given $k$, we assume a unit - rate situation. If we assume that for every 1 cup of pecans ($x = 1$), a certain number of pralines are made. Let's assume the constant of proportionality $k$ is such that when $x = 1$, $y$ is some non - zero number. In the most basic case, if we assume that the equation is $y=kx$ and we want to find $x$ when $y = 20$. If we assume $k = 1$ (for simplicity, meaning 1 cup of pecans makes 1 praline), then $x=\frac{y}{k}$. Substituting $y = 20$ and $k = 1$ into the formula $x=\frac{y}{k}$, we have $x=\frac{20}{1}$.

Answer:

20