Question

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

Answer 1

The exponential function is given by $y = 210000(1.125)^t$

exponential function

An exponential function is in the form:

$y=ab^x$

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 $y = 210000(1.125)^t$

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