Question

Healthy Grains is an organic food company that makes several different kinds of trail mix. The company's 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.
A package that contains 7 ounces of dark chocolate also contains 14 ounces of almonds. Write the equation for the relationship between x and y.

Answer 1

Answer:

y=4x

Step-by-step explanation:

Two variables have a proportional relationship if the ratio of one variable to the other is constant.

A proportional relationship between x and y can be modeled by the equation y=kx.

The letter k is the constant ratio of y to x. It is called the constant of proportionality.

The ratio for each pair of x- and y-values is 4. So, the variables have a proportional relationship.

So, the constant of proportionality is 4 ounces of almonds per ounce of dark chocolate.

The equation for the relationship is:

y=4x