The population growth of a community is modeled by the equation P (x) = 15,5580.4x + 1, where P (x) is population and x is time in years beginning with x = 0. When does the population double? Round to the nearest tenth of a year.

The population will be double in 0.5 years.

Step-by-step explanation:

The population growth of a community is modeled by the equation , where P (x) is population and x is time in years beginning with x = 0.

Therefore, the population at x = 0 will be =

If the population becomes double then we can write the equation as

⇒

⇒

⇒ 2(x + 1) = 3 {Comparing the power terms}

⇒ x + 1 = 1.5

⇒ x = 0.5 years.

Therefore, the population will be double in 0.5 years. (Answer)

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step-by-step explanation: