Final answer:
The worker produces 19 pieces per minute. By multiplying this rate by 15 minutes, we can find the answer is 285 pieces.
Step-by-step explanation:
Firstly, it's necessary to find out how many pieces the worker produces per minute. This is done by dividing the amount of pieces made (114) by the time taken (6 minutes), which gives us 19 pieces per minute. To find out how many pieces are produced in 15 minutes, multiplily this rate by 15. Therefore, the correct answer is: 19 pieces * 15 minutes = 285 pieces.
Learn more about Rate problems