Answer:
- independent: time in hours
- dependent: number of workers
- relation: w = 108/t
Explanation:
You want to identify the dependent and independent variables for the scenario shown.
Wording
Usually, the description of a relation tells you the name of the dependent variable, and may go on to say what it depends on (the independent variable). In a table, the independent variable (time) is often listed at the top or left, and the dependent variable (workers) is shown below or to the right.
Dependent variable
The description of the scenario tells us that the number of workers is the dependent variable.
This leaves the time in hours as the independent variable. That is, the farmer may choose how quickly the apples are to be harvested, then set about acquiring the appropriate number of workers.
Table
We observe that the product of workers and hours is a constant (108 worker·hours). When the time in hours goes up by a factor of 4/3, the number of workers goes down by the same factor. This observation lets us fill in the empty cells in the table.
The attachment shows the filled table.
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Additional comment
In relations involving time, we quite often make time be the independent variable.
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