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Energy Consumption Rate of Change

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The function E(t)=800ln⁡(t+1)E(t)=800\ln(t+1) models the energy consumption of a city in kilowatt-hours (kWh), where tt is the time in years. What is the instantaneous rate of change of energy consumption at t=4t=4?

A

200 kWh/year200 \text{ kWh/year}

B

dEdt∣t=4=8005=160 kWh/year\frac{dE}{dt}\Big|_{t=4} = \frac{800}{5} = 160 \text{ kWh/year}

C

400 kWh/year400 \text{ kWh/year}

D

800 kWh/year800 \text{ kWh/year}

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