To determine which equation represents the relationship between the time it took Bill to complete sets of math problems (y) and the number of sets (x), we need to analyze the options provided based on the typical meaning of the variables.
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y = 1.2x: This indicates that for each set of problems (x), it takes Bill 1.2 units of time (y). This could imply a consistent time per set.
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y = 12x: This suggests that Bill takes a much longer time for each set (12 units), which seems less realistic for basic math problems unless there's significant complexity.
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y = x + 12: This suggests Bill starts with a base time of 12 units before completing any sets, which doesn't typically represent a straight correlation with the number of sets.
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y = x + 1.2: Similar to the above, this suggests a base time of 1.2 units plus the time for the number of sets, which adds a constant to the time per set.
Without specific data points from the table, we would generally favor the equation suggesting a direct proportionality, which is often the case in time taken per consistent unit of output.
Assuming the relationship is more straightforward, the most likely candidate is y = 1.2x.
If you have specific data from the table, you can confirm and select the most accurate equation based on that information. If not, I recommend using the first option as a reasonable estimation unless given more context.