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The underworld city of Nexus has a current population of 500,000 people. The city’s population is growing exponentially with a growth rate of 3% per year. The city’s infrastructure can support a máximo population of 1 million people. At what time does the city need to upgrade its infrastructure to accommodate the growing population? Model the equation of it first and then its derivative

Solución

The underworld city of Nexus has a current population of 500, 000 people. The city’s population is growing exponentially with a growth rate of 3% per year. The city’s infrastructure can support a maximum population of 1 million people. At what time does the city need to upgrade its infrastructure to accommodate the growing population? Model the equation of it first and then its derivative

Solución

Amount after addition : 515000

Pasos de solución

Translate the problem into an equation:

x = 500000 + 0.03 \cdot 500000

x = 500000 + 0.03 \cdot 500000 : x = 515000

Amount after addition : 515000

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