In this problem you will use algebra to describe a relationship, Jacinda used the table below to help convert measurements while she was cooking

In this problem you will use algebra to describe a relationship Jacinda used the table below to help convert measurements while she was cooking class=

Respuesta :

Answer:

a. The number of quarts is one-fourth the number of cups

b. The number of quarts = [tex]\frac{1}{4}c[/tex]

c. The number of quarts in 100 cups is 25 quarts

Step-by-step explanation:

* Lets explain how to solve the problem

- There is a relation between the number of quarts and the number

 of cups

# From the table

- Number of cups:      4    ,    8    ,    12    ,    16

- Number of quarts:    1    ,    2    ,     3    ,     4

∵ 4/1 =  , 8/2 = 4 , 12/3 = 4 , 16/4 = 4

∴ The number of cups/the number of quarts = 4

- That means there are 4 cups in each quart

∴ The number of quarts is one-fourth the number of cups

a. The number of quarts is one-fourth the number of cups

∵ The number of cups is c

∴ The number of quarts = [tex]\frac{1}{4}c[/tex]

b. The number of quarts = [tex]\frac{1}{4}c[/tex]

∵ There are 100 cups

∴ c = 100

- Substitute the value of c in the expression below

∵ The number of quarts = [tex]\frac{1}{4}c[/tex]

∴ The number of quarts = [tex]\frac{1}{4}(100)[/tex]

∴ The number of quarts = 25

c. The number of quarts in 100 cups is 25 quarts