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wolverine [178]
2 years ago
9

The population of Fantasy City doubles each month. When will the city be half populated if it will be fully populated in 10 mont

hs.
Mathematics
1 answer:
Wewaii [24]2 years ago
4 0

Using an exponential function, it is found that the city will be half populated in 9 months.

The population of Fantasy City doubles each month, hence, after t months, the population is given by:

P(t) = P(0)2^{t}

  • In which P(0) is the initial population.

Fully populated in 10 months, hence, the full population is:

P(10) = P(0)2^{10} = 1024P(0)

Hence, half populated is P(t) = \frac{1024P(0)}{2} = 512P(0), hence:

P(t) = P(0)2^{t}

512P(0) = P(0)2^{t}

2^t = 512

2^t = 2^9

t = 9

The city will be half populated in 9 months.

To learn more about exponential functions, you can take a look at brainly.com/question/25537936

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