When Han makes chocolate milk, he mixes 2 cups of milk with 3 tablespoons of chocolate syrup. Here is a table that shows how to make batches of different sizes. Use the information in the table to complete the statements. Some terms are used more than once.

Table with 2 columns and 4 rows of data. The columns are: cups of milk and tablespoons of chocolate syrup. The table has the ordered pairs ( 2 comma 3), (8 comma 12), (1 comma the fraction 3 over 2) and (10 comma 15). There is an arrow pointing from row 1 to row 2 on each side with times 4 next to the arrows.

1. The table shows a proportional relationship between ______________ and ______________.

2. The scale factor shown is ______________.

3. The constant of proportionality for this relationship is______________.

4. The units for the constant of proportionality are ______________ per ______________.

Bank of Terms: tablespoons of chocolate syrup, 4, cups of milk, cup of milk, \(\frac32\)

A certain shade of pink is created by adding 3 cups of red paint to 7 cups of white paint.

1. How many cups of red paint should be added to 1 cup of white paint?

   cups of white paint	cups of red paint
   1
   7	3

2. What is the constant of proportionality?

A map of a rectangular park has a length of 4 inches and a width of 6 inches. It uses a scale of 1 inch for every 30 miles.

1. What is the actual area of the park? Show how you know.
2. The map needs to be reproduced at a different scale so that it has an area of 6 square inches and can fit in a brochure. At what scale should the map be reproduced so that it fits on the brochure? Show your reasoning.

Select all the ratios that are equivalent to each other.