Concept explainers
(a)
To calculate: To describe the linear relationship between number of cubic feet and weight of water.
(a)
Answer to Problem 45STP
The linear relationship is that weight of water is
Explanation of Solution
Given information: The equation
Calculation:
Given the equation that describes the weight
Here, weight of water is
Conclusion:
Hence, the linear relationship is that weight of water is
(b)
To calculate: To make a table of values that describe the relationship
(b)
Answer to Problem 45STP
Table is
Number of cubic feet of water | Weight of water |
1 | 64 |
2 | 128 |
3 | 192 |
4 | 256 |
Explanation of Solution
Given information: The equation
Calculation:
Given the equation that describes the weight
When
When
When
When
Hence, table is
Number of cubic feet of water | Weight of water |
1 | 64 |
2 | 128 |
3 | 192 |
4 | 256 |
Conclusion:
Hence, table is created
(c)
To calculate: To explain the meaning of two ordered pairs
(c)
Answer to Problem 45STP
Explanation of Solution
Given information: The equation
Calculation:
Given the equation that describes the weight
Hence, table is
Number of cubic feet of water | Weight of water |
1 | 64 |
2 | 128 |
3 | 192 |
4 | 256 |
Let us consider the ordered pair
Conclusion:
Hence,
(d)
To calculate: To graph the ordered pairs and a draw a line through them
(d)
Answer to Problem 45STP
Graph is sketched
Explanation of Solution
Given information: The equation
Calculation:
Given the equation that describes the weight
Hence, table is
Number of cubic feet of water | Weight of water |
1 | 64 |
2 | 128 |
3 | 192 |
4 | 256 |
Plotting the points in graph:
Conclusion:
Hence, graph of ordered pair is sketched
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