(a)
To write: an expression describing the relationship between the number of quarts and the cups.
(a)
Answer to Problem 40HP
The relationship is
“Number of quarts in any number of cups is equal to the one-fourth of the number of cups"
Explanation of Solution
Given:
Number of Cups (c) | 4 | 8 | 12 | 16 |
Number of Quarts (q) | 1 | 2 | 3 | 4 |
Calculation:
First find the relation between them
For, number of cups = 4
Number of quarts
For, number of cups = 8
Number of quarts
For, number of cups = 12
Number of quarts
For, number of cups = 16
Number of quarts
Conclusion:
Hence, the relationship is
“Number of quarts in any number of cups is equal to the one-fourth of the number of cups"
(b)
To write:algebraic expression for number of quarts in c cups.
(b)
Answer to Problem 40HP
The number of quarts in c cups is
Explanation of Solution
The relationship between number of quarts and number of cups is that
"Number of quarts in any number of cups is equal to the one-fourth of the number of cups"
Now, given that number of cups is "c"
Since, one- fourth of c is
Conclusion:
Therefore, number of quarts in c cups is
(c)
To use:the expression in part b to find the number of quarts in 100 cups.
(c)
Answer to Problem 40HP
There are 25 quarts in 100 cups.
Explanation of Solution
To find number of quarts in 100 cups, we substitute
Thus there are 25 quarts in 100 cups.
Conclusion:
Thus there are 25 quarts in 100 cups.
Chapter 1 Solutions
Pre-Algebra Student Edition
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