P = 215(1.005)t/3

The equation above can be used to model the population, in thousands, of a certain city t years after 2000. according to the model, the population is predicted to increase by 0.5% every n months. what is the value of n ?

(A) 3 (B) 4 (C) 12 (D) 36

It is given that the population (215) is predicted to increase by 0.5%. To know the value after increment, 215 has to be multiplied by (1 + 0.005) or 1.005.

In the equation P = 215(1.005)t/3, the value of t/3 has to be equal to 1 for 0.5% increase.

t/3 = 1

t = 3 years

Convert years to months.

n = 3 ⋅ 12 months

n = 36 months

The correct option is D.

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P = 215(1.005)t/3 The equation above can be used to model the population, in thousands, of a certain city t years after 2000. according to the model, the population is predicted to increase by 0.5% every n months. what is the value of n ? (A) 3 (B) 4 (C) 12 (D) 36

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P = 215(1.005)t/3

The equation above can be used to model the population, in thousands, of a certain city t years after 2000. according to the model, the population is predicted to increase by 0.5% every n months. what is the value of n ?

(A) 3 (B) 4 (C) 12 (D) 36