One of the jobs of a construction manager (besides planning, coordinating, and running the project)is to observe the quality and keep the building ahead of deadline in each phase. For a new officebuilding, there is pressure to get the brick façade completed on time. The bricklayers are skilled, butthere is a concern that they will not be done in time. Because each building site and plan isdifferent, there is no general universal rate that can be used to estimate how long it will take. Thebest the manager can do is observe them work and get a decent idea how long it takes to completea layer for this particular building design. Unfortunately, there are other responsibilities that keepthe construction manager from sitting and timing them directly. Instead, she notes that when shearrived one morning at 9:15, there were 116.5 layers completed. When she returned at 11:00 andcounted, they had 127 layers completed. When she consults the plan, there needs to be a total of160 layers.Does she need to worry that the brick façade won't be done by quitting time at 5 p.m.? Explainyour answer and justify it with relevant mathematics.I