Explore BrainMass

Intepreting Data and Piecewise Functions

A factory begins emitting particulate matter into the atmosphere at 8 am each workday, with the emissions continuing until 4 pm. The level of pollutants, P(t), measured by a monitoring station 1/2 mile away is approximated as follows, where t represents the number of hours since 8 am:

p(t)= 75t + 100 if 0 is less than or equal to t and less than or equal to 4
400 if 4 is less than t or less than 8
-100t + 1200 if 8 is less than or equal to t or less than or equal to 10
-50/7t + 100/7 if 10 is less than t or less than 24

Find the level of pollution at
a. 9am
c. 5pm
d. 7pm
e. midnight
f.Graph y = P(t)
g. From the graph in part f., at what time(s) is the pollution level highest? Lowest?


Solution Preview

Hello and thank you for posting your questions to Brainmass.

The solution is ...

Solution Summary

A piecewise function is evaluated for different values of t. The solution is detailed and well presented. The response was given a rating of "5/5" by the student who originally posted the question.