# 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

b.11am

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?

https://brainmass.com/math/graphs-and-functions/intepreting-data-piecewise-functions-157148

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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 Â½ mile away is approximated as follows, where t represents the number of hours since 8 am:

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#### Solution Summary

A piecewise function is evaluated for different values of t. The solution is detailed and well presented.