In 2010, the area's population tallied at 2.13 million. Since then, the population has grown at a rate of 2.4% per year. Write an equation that you can use to predict the population for the number of years after 2010.

Question

Mathematics

Luis Berg

29 April, 04:51

In 2010, the area's population tallied at 2.13 million. Since then, the population has grown at a rate of 2.4% per year. Write an equation that you can use to predict the population for the number of years after 2010.

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Answers (1)

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Cadence · Answer 1

Step-by-step explanation:

We would apply the formula for exponential growth which is expressed as

y = b (1 + r) ^t

Where

y represents the population, t years after 2010.

t represents the number of years.

b represents the initial population.

r represents rate of growth.

From the information given,

b = 2.13 * 10^6

r = 2.4% = 2.4/100 = 0.024

Therefore, the equation that you can use to predict the population for the number of years after 2010 is

y = 2.13 * 10^6 (1 + 0.024) ^t

y = 2.13 * 10^6 (1.024) ^t