Assume that after t hours on the job, a factory worker can produce 100te^-.5t units per hour. how many units does the worker produce during the first three hours?

The number of units produced by the worker during t hours of work can be modelled by the following function:



To find the number of units produced during first 3 hours, we can substitute 3 for t. This will give us the number of units produced by the worker during first 3 hours.



Thus the worker will produce 67 units during the first 3 hours of the work.