Answer :
The unit rate is how many calories are in 1 cup of cereal.
Set up a proportion:
[tex] \frac{75 cal}{3/4 cup} = \frac{X cal}{1 cup}[/tex]
Cross multiply and solve:
[tex]\frac{3}{4} X = 75\\ 3X=300\\X=100[/tex]
There are 100 calories per cup of cereal.
To get the calories in 4 cups of cereal, simply multiply the unit rate of 100cals/cup by 4.
[tex]100*4=400[/tex]
There are 400 calories in 4 cups of cereal.
Set up a proportion:
[tex] \frac{75 cal}{3/4 cup} = \frac{X cal}{1 cup}[/tex]
Cross multiply and solve:
[tex]\frac{3}{4} X = 75\\ 3X=300\\X=100[/tex]
There are 100 calories per cup of cereal.
To get the calories in 4 cups of cereal, simply multiply the unit rate of 100cals/cup by 4.
[tex]100*4=400[/tex]
There are 400 calories in 4 cups of cereal.
Unit rate is the where the denominator for the quantity is one. It is used to indicate the price per unit or similar quantity of product. The unit rate for the calories in the one cup of cereals is 100 calories per cup and in 4 cups of the cereal there are 400 calories.
Given-
Total calories in the 3/4 of the cup is 75.
1)Unit rate for the calories per cup.
What is unit rate?
Unit rate is the where the denominator for the quantity is one. It is used to indicate the price per unit or similar quantity of product.
- 1) The unit rate for calories per cup-The calories in one full cup can be calculated by dividing the number of calories in the three-fourth of the cup.
Suppose there is x calories in a full cup. Thus the number of calories in one full cup can be calculated as,
[tex]x=\dfrac{75}{\dfrac{3}{4}}[/tex]
[tex]x=\dfrac{75\times 4}{3}[/tex]
[tex]x=\dfrac{300}{3}[/tex]
[tex]x=100[/tex]
Hence, the unit rate for the calories in the 1 cup of cereals is 100 calories per cup.
- 2) Calories are there in 4 cups of the cereal-To calculate the calories in 4 cups of the cereal we need to multiplies the number four to the number of calories in one cup.
Suppose there are y cup calories in the 4 cups of the cereal. Thus,
[tex]y=4\times100[/tex]
[tex]y=400[/tex]
Thus in 4 cups of the cereal there are 400 calories.
Hence, the unit rate for the calories in the one cup of cereals is 100 calories per cup and in 4 cups of the cereal there are 400 calories.
Learn more about the unit rate here;
https://brainly.com/question/11258929
