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

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