Question

Using the ratio of three blueberries to 12 strawberries, give two different unit rates using this relationship. A) 1 blueberry for every 4 strawberries B) 4 strawberries for every blueberry C) 1 blueberry for every 12 strawberries D) 3 strawberries for every blueberry

Answer 1

The correct unit rates derived from the ratio of three blueberries to 12 strawberries are 1 blueberry for every 4 strawberries and 3 strawberries for every blueberry, which correspond to option A and option D respectively.

Step-by-step explanation:

The student is asking about unit rates that can be derived from the ratio of three blueberries to 12 strawberries. Using this ratio, we can calculate two different unit rates by simplifying the ratio to represent the relationship between the number of blueberries and strawberries in terms of one item being the constant.

For the first unit rate:

A) 1 blueberry for every 4 strawberries: To find this unit rate, you divide both terms of the ratio by the number of blueberries (3), yielding the relationship of 1 blueberry to 4 strawberries.

For the second unit rate:

D) 3 strawberries for every blueberry: To find this unit rate, you divide both terms of the ratio by the number of strawberries (12), which flips the ratio and gives you the relationship of 3 strawberries to 1 blueberry.

Therefore, both A and D are correct unit rates developed from the given ratio of three blueberries to 12 strawberries.

Answer 2

The ratio of three blueberries to 12 strawberries can be simplified to two unit rates: 1 blueberry for every 4 strawberries and 4 strawberries for every blueberry.

Step-by-step explanation:

Using the ratio of three blueberries to 12 strawberries, two different unit rates can be expressed from this relationship. By simplifying the given ratio, we find that for every three blueberries, there are 12 strawberries which can be reduced to a ratio of 1 blueberry for every 4 strawberries, represented as 1:4. We can also express this relationship the other way around to find that there are 4 strawberries for every blueberry, represented as 4:1.