Answer:
The unit rate is 100 calories per cup.
And there are 300 calories in 3 cups of the cereal.
Step-by-step explanation:
Given:
A box of cereal states that there are 75 calories in a three fourths -cup serving.
Now, to find the unit rate for calories per cup. And calories in 3 cups of the cereal.
So, we use unitary method to get the unit rate and calories in 3 cups of the cereal:
In [tex]\frac{3}{4}[/tex] cup of serving there are calories = 75.
So, in 1 cup of serving there are calories = [tex]75\div \frac{3}{4}[/tex] [tex]= \frac{300}{3} =100.[/tex]
Thus, in 3 cups of serving there are calories = [tex]100 \times 3[/tex] [tex]=300.[/tex]
Therefore, the unit rate is 100 calories per cup.
And there are 300 calories in 3 cups of the cereal.