(a)
To calculate: To write the values in the table as a set of ordered pairs and find if data represent a function.
(a)
Answer to Problem 37PPS
The set of ordered pairs is a function
Explanation of Solution
Given information: Table showing the average number of hours worked weekly by U.S production workers for various years
Year | Hours |
1970 | 37 |
1980 | 35 |
1990 | 34 |
2000 | 34 |
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 average number of hours worked weekly by U.S production workers for various years
Year | Hours |
1970 | 37 |
1980 | 35 |
1990 | 34 |
2000 | 34 |
Set of ordered pairs of 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 is a function
(b)
To calculate: To write the inverse of the ordered pairs of the data and find if the data represents a function
(b)
Answer to Problem 37PPS
The inverse of the data is NOT a function
Explanation of Solution
Given information: Table showing the average number of hours worked weekly by U.S production workers for various years
Year | Hours |
1970 | 37 |
1980 | 35 |
1990 | 34 |
2000 | 34 |
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 average number of hours worked weekly by U.S production workers for various years
Year | Hours |
1970 | 37 |
1980 | 35 |
1990 | 34 |
2000 | 34 |
Given that inverse of a relation is obtained by switching the order of the number in each ordered pair
Set of ordered pairs of is represented as below
Inverse of the relation is given as
Consider
Here, the ordered pairs have same first coordinate.
Thus, the set of ordered pairs is NOT a function
Conclusion:
Hence, the set of ordered pairs is NOT a function
Chapter 8 Solutions
Pre-Algebra, Student Edition
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