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Suppose the output of a factory (output) and the number of workers (workers) is represented by a linear function output $=a+b$ workers, where $a$ and $b$ are constants. You know that when there are 5 workers, the output is 15 . When there are 10 workers, the output is 20. Solve for the constant $a$ Solve for the constant $b$ If there are 20 workers, what is the output expected to be? If the factory hires 6 more workers, what is the expected increase in output?

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