Question

healthy grains is an organic food company that makes several different kinds of trail mix. the companys sweet and salty trail mix includes dark chocolate and almonds, and it comes in different - sized packages. there is a proportional relationship between the amount of dark chocolate (in ounces), x, and the amount of almonds (in ounces), y, in each package of sweet and salty trail mix. x (ounces of dark chocolate) 2 3 4 5 y (ounces of almonds) 8 12 16 20 write an equation for the relationship between x and y. simplify any fractions. work it out not feeling ready yet? these can help: lesson: proportional relationships find the constant of proportionality from a table

Explanation:

Step1: Recall proportional - relationship formula

For a proportional relationship $y = kx$, where $k$ is the constant of proportionality.

Step2: Calculate the constant of proportionality $k$

We can use any pair of values from the table. Let's take the first pair: when $x = 2$ and $y = 8$. Then $k=\frac{y}{x}=\frac{8}{2}=4$.

Step3: Write the equation

Since $k = 4$, the equation for the proportional relationship is $y = 4x$.

Answer:

$y = 4x$