When a machine is turned on, it initially produces widgets at an average rate of 120 widgets per hour. If after every 10 minutes the machine's average rate of production increases by 10 widgets per hour, how many widgets will be produced in the fourth 10-minute period after the machine is turned on?
A
Just add 10 widgets to the machine's rate of production for every 10 minutes that is turned on. If the machine produces widgets at an average rate of 120 per hour in the first 10- minute period, it will produce 130 widgets per hour in the second period, 140 widgets per hour in the third period, and 150 widgets per hour in the fourth period. At a rate of 150 per hour, how many widgets will the machine produce in 10 minutes? There are 60 minutes in an hour, there are six ten-minute periods in an hour. Each ten-minute is equal to one-sixth of an hour, so the machine will produce one-sixth of its hourly rate in 10 minutes:
(1/6) x 150 = 25 widgets.
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