Ecologists estimate that, when the population of a certain city is x thousand persons, the average level L of carbon monoxide in the air above the city will be L ppm (parts per million), where L=40 +0.4x +0.0003x. The population of the city is estimated to be x= 752 + 23t + 0.51 thousand persons t years from the present. Find the rate of change of carbon monoxide with respect to the population of the city, and the time rate of change of the population when t= 2. How fast (with respect to time) is the carbon monoxide level changing at time t=27 What is the rate of change of carbon monoxide with respect to the population of the city? (Type an expression using x as the variable.)

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Exponential Growth Model

The relation that represents an exponential function is: