Question

Suppose that 10 cars per minute can pass through a construction zone. If trafficarrives randomly at an average rate of x cars per minute, the average time T, in minutes,you spend waiting in line to pass through the construction zone is given by: T = 10-xComplete the following table using your TI calculator (remember to put both the topand the bottom in parenthesis):

Answer 1

Case: Limits

Method:

a) Completing the table

b)

Trend:

As the number of cars per minute increases and approaches 10 cars per minute, the waiting time continues increasing as it approaches infinity.

c) Interpretation.

The meaning of T (time in minutes) as the rate averages 10 cars per minute can be interpreted as an uncomputable time when the number of cars reaches 10 cars per minute

d) x> 10. The construction zone cannot take more than 10 cars at a time, hence T= -1 mins. Time cannot be negative