APFIVE Energy Consumption Rate of Change
The energy consumption of a city is modeled by the function $$E(t)=800*\ln(t+1)$$, where $$E(t)$$ is in kilowatt-hours (kWh) and $$t$$ is time in years. Compute the instantaneous rate of change of energy consumption at $$t=4$$ years.
A
$$400 \text{ kWh/year}$$
B
$$800 \text{ kWh/year}$$
C
$$\frac{dE}{dt}\Big|_{t=4} = \frac{800}{5} = 160 \text{ kWh/year}$$
D
$$200 \text{ kWh/year}$$
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