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Rate of Change of NO₂ Concentration

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The concentration of nitrogen dioxide (NO₂), in parts per million (ppm), in a city is modeled by the function C(t)=30∗(1−e−0.2∗t)C(t)=30*(1-e^{-0.2*t}), where $t$ is the number of hours after 9:00 a.m. What is the instantaneous rate of change of the NO₂ concentration at $t = 4$ hours?

A

Approximately 2.70 ppm/hour

B

Approximately 1.20 ppm/hour

C

Approximately 3.20 ppm/hour

D

Approximately 4.80 ppm/hour

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