SOLUTION: A manager checked production records and found that a worker produced 160 units while working 40 hours. In the previous week, the same worker produced 138 units while working 36 ho

Algebra ->  Equations -> SOLUTION: A manager checked production records and found that a worker produced 160 units while working 40 hours. In the previous week, the same worker produced 138 units while working 36 ho      Log On


   



Question 434829: A manager checked production records and found that a worker produced 160 units while working 40 hours. In the previous week, the same worker produced 138 units while working 36 hours. did the worker's productivity increase, decrease, or remain the same? Explain.
Answer by goose32(1) About Me  (Show Source):
You can put this solution on YOUR website!
To determine productivity, we'll analyze how much the worker produced per hour. We're given two ratios: 160%2F40 for the first week, and 138%2F36 for the second. Since 160%2F40+=+4, we can say that the worker produced 4 units per hour during week 1, since we are dividing units over time (and our measurement of time is hours). Also, since 138%2F36+=+3.83333..., we can state that the worker produced about 3.83 units an hour during the previous week. Since 4+%3E+3.83, the worker was more productive during the first week.