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Write a function in terms of t that represents the situation.

A population of 210,000 increases by 12.5% each year

y=

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raphealnwobi

The exponential function is given by [tex]y = 210000(1.125)^t \\[/tex]

exponential function

An exponential function is in the form:

[tex]y=ab^x[/tex]

Where a is the initial value of y and b is the multiplier factor

Let y represent the population after t years.

Given an initial population of 210000, hence:

  • a = 210000

The population increases by 12.5% each year, hence:

  • b = 100% + 12.5% = 112.5% = 1.125

The exponential function is given by [tex]y = 210000(1.125)^t \\[/tex]

Find out more on exponential function at: https://brainly.com/question/12940982

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