The rate at which a new worker in a certain factory produces items is given by

where y is the number of items produced by the worker per day, x is the number of days worked, and the maximum production per day is 150 items. Assume that the worker produces 15 items at the beginning of the first day on the job (x = 0).
(a) Find the number of items the new worker will produce in 10 days.
(b) Determine the number of days for a new worker to produce 100 items per day.

dy dx = 0.1(150 - y),