Question

Sally is making a painting for which she is mixing red paint and blue paint. The table above shows the different mixtures being used.

Question 1) What is the unit rate? (Blue paint to red paint)

Question 2) Is it proportional? Explain.

Answer 1

1 1/2 - 2 1/2 is 3/2:5/2 or a 3:5 ratio
2 2/5 - 4 is 12/5:20/5 or a 3:5 ratio
3 3/4 - 6 1/4 is 15/4:25/4 or a 3:5 ratio
4 - 6 2/3 is 12/3:20/3 or a 3:5 ratio
1.2- 2 if divided by .4 is a 3:5 ratio
1.8-3 if divided by .6 is a 3:5 ratio
the unit rate is 3:5
Since all units are 3:5 it is proportional

Answer 2

It could be said that 1.67 quarts of blue paints is mixed with 1 quart of red paint.

Explanation:

We are given the following information in the question:

Unit rate:

• A rate is a ratio that is used to compare different kinds of quantities.
• A unit rate describes how many units of the first type of quantity corresponds to one unit of the second type of quantity.

`\text{Unit Rate} = \displaystyle\frac{\text{Parts of blue}}{\text{Parts of red}} = (3)/(1.8) = (1.67)/(1)`

Thus, it could be said that 1.67 quarts of blue paints is mixed with 1 quart of red paint.

Yes, it is proportional because every time the paints are mixed in accordance to the given unit rate.