Question

a recipe for trail mix calls for 50 grams of almonds for every 2 cups of oats. the line represents the relationship between the amount of almonds and the amount of oats needed to make trail mix according to this recipe. the point (1, 25) is on theine. what is the equation for this line? use the format y=kx

Answer 1

The equation is: y=25x

Explanation:

Linear Modeling

When two variables have a linear dependency, the relationship between them can be written as:

y=kx+b

Where k is the slope and b is the y-intercept. When b=0, then the relationship is called proportional, and the equation is:

y=k.x

For the question, we call y=grams of almond and x=cups of oats.

It's given for x=cups of oats, the recipe for trail mix calls for y=50 grams of almonds. Substituting into the equation:

50=k.2

Solving for k:

k=50/2=25

The final equation is:

y=25x

Note the point (1,25) is on the line, as required.