Question

A recipe for trail mix calls for 1 cup of raisins for every 2 cups of granola.

1. What is the equation for this situation?

Answer 1

Let

x

=

x= the number of cups of granola and

y

=

y= the number of cups of raisins.

At the beginning we have

x

=

0

x=0 cups of granola and

y

=

0

y=0 cups of raisins.

We have the direct proportion

y

=

m

x

,

x

≥

0.

y=mx,x≥0.

Given that a recipe calls for

y

=

1

y=1 cup of raisins for every

x

=

2

x=2 cups of granola

1

=

m

(

2

)

=

>

m

=

1

2

1=m(2)=>m=

2

1

​

The equation that describes the relationship between raisins

(

y

)

(y) and granola

(

x

)

(x) is

y

=

1

2

x

,

x

≥

0

y=

2

1

​

x,x≥