Air Pollution The amount of nitrogen dioxide, a brown gas that impairs breathing, present in the atmosphere on a certain May day in the city of Long Beach is approximated by A ( t ) = 136 1 + 0.25 ( t − 4.5 ) 2 + 28 (0 ≤ t ≤ 11) where A ( t ) is measured in pollutant standard index (PSI) and t is measured in hours, with t = 0 corresponding to 7 a.m. Determine the time of day when the pollution is at its highest level.
Air Pollution The amount of nitrogen dioxide, a brown gas that impairs breathing, present in the atmosphere on a certain May day in the city of Long Beach is approximated by A ( t ) = 136 1 + 0.25 ( t − 4.5 ) 2 + 28 (0 ≤ t ≤ 11) where A ( t ) is measured in pollutant standard index (PSI) and t is measured in hours, with t = 0 corresponding to 7 a.m. Determine the time of day when the pollution is at its highest level.
Solution Summary: The author explains how to determine the time of day when the pollution is at its highest level. The equation relates the pollutant standard index with time.
Air Pollution The amount of nitrogen dioxide, a brown gas that impairs breathing, present in the atmosphere on a certain May day in the city of Long Beach is approximated by
A
(
t
)
=
136
1
+
0.25
(
t
−
4.5
)
2
+
28
(0 ≤ t ≤ 11)
where A(t) is measured in pollutant standard index (PSI) and t is measured in hours, with t = 0 corresponding to 7 a.m. Determine the time of day when the pollution is at its highest level.
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