(a)
To calculate: To find if the set of ordered pairs (year, whole milk) is a function
(a)
Answer to Problem 36PPS
The set of ordered pairs (year, whole milk) is a function
Explanation of Solution
Given information: Table showing the sales of milk in the U.S in different years
U.S Milk Sales 1960-2000 | ||
Year | Whole Milk | Reduced and Low fat milk |
1960 | 42,999 | 389 |
1970 | 41,512 | 6,163 |
1980 | 31,253 | 15,918 |
1990 | 21,333 | 24,509 |
2000 | 18,448 | 23,649 |
Formula Used:
According to function rule, no input can have more than one output.
The set ordered pairs is referred to as function when no two ordered pairs have the same first coordinate with different second coordinate
Calculation:
Given the table showing the sales of milk in the U.S in different years
U.S Milk Sales 1960-2000 | ||
Year | Whole Milk | Reduced and Low fat milk |
1960 | 42,999 | 389 |
1970 | 41,512 | 6,163 |
1980 | 31,253 | 15,918 |
1990 | 21,333 | 24,509 |
2000 | 18,448 | 23,649 |
Set of ordered pairs of (year, whole milk)is represented as below
Here, no two ordered pairs have same first coordinate.
Thus, the set of ordered pairs is a function
Conclusion:
Hence, the set of ordered pairs (year, whole milk) is a function
(b)
To calculate: To find if the set of ordered pairs (year, Reduced and low-fat milk) is a function
(b)
Answer to Problem 36PPS
The set of ordered pairs (year, Reduced and low-fat milk) is a function
Explanation of Solution
Given information: Table showing the sales of milk in the U.S in different years
U.S Milk Sales 1960-2000 | ||
Year | Whole Milk | Reduced and Low fat milk |
1960 | 42,999 | 389 |
1970 | 41,512 | 6,163 |
1980 | 31,253 | 15,918 |
1990 | 21,333 | 24,509 |
2000 | 18,448 | 23,649 |
Formula Used:
According to function rule, no input can have more than one output.
The set ordered pairs is referred to as function when no two ordered pairs have the same first coordinate with different second coordinate
Calculation:
Given the table showing the sales of milk in the U.S in different years
U.S Milk Sales 1960-2000 | ||
Year | Whole Milk | Reduced and Low fat milk |
1960 | 42,999 | 389 |
1970 | 41,512 | 6,163 |
1980 | 31,253 | 15,918 |
1990 | 21,333 | 24,509 |
2000 | 18,448 | 23,649 |
Set of ordered pairs of (year, Reduced and low-fat milk) is represented as below
Here, no two ordered pairs have same first coordinate.
Thus, the set of ordered pairs is a function
Conclusion:
Hence, the set of ordered pairs (year, Reduced and low-fat milk) is a function
(c)
To calculate: To describe the relationship between year and million pounds of whole milk purchased and describe the relationship between year and million pounds of reduced and low-fat milk purchased
(c)
Answer to Problem 36PPS
With the increase in year, purchase of whole milk has decreased and the purchase of reduced and low-fat milk has increased
Explanation of Solution
Given information: Table showing the sales of milk in the U.S in different years
U.S Milk Sales 1960-2000 | ||
Year | Whole Milk | Reduced and Low fat milk |
1960 | 42,999 | 389 |
1970 | 41,512 | 6,163 |
1980 | 31,253 | 15,918 |
1990 | 21,333 | 24,509 |
2000 | 18,448 | 23,649 |
Calculation:
Given the table showing the sales of milk in the U.S in different years
U.S Milk Sales 1960-2000 | ||
Year | Whole Milk | Reduced and Low fat milk |
1960 | 42,999 | 389 |
1970 | 41,512 | 6,163 |
1980 | 31,253 | 15,918 |
1990 | 21,333 | 24,509 |
2000 | 18,448 | 23,649 |
From above table,
As year increasing, the purchase of million pounds of whole milk is decreasing.
As year is increasing, the purchase of million pounds of reduced and low-fat milk is increasing
Conclusion:
Hence, with the increase in year, purchase of whole milk has decreased, and the purchase of reduced and low-fat milk has increased
Chapter 8 Solutions
Pre-Algebra Student Edition
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