The function f(x) = 25(4)^x represents the growth of a bird population every year in a national park. Kyle wants to manipulate t

Question

2 years ago

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The function f(x) = 25(4)^x represents the growth of a bird population every year in a national park. Kyle wants to manipulate t

he formula to an equivalent form that calculates every half-year, not every year. Which function is correct for Kyle's purposes?

Mathematics

1 answer:

Natasha_Volkova [10] · Answer 1 · 2022-02-19T14:37:37+03:00

$f(x)=25(4)^{\frac{x}{2}}$ will be the function to calculate population every half year.

Further explanation:

The given formula is:

$f(x) = 25(4)^x$

In the given formula, x represents the amount of time in years. So, in order to convert the given function for yearly calculation of population, to find the population every half year the time will be converted into half. This means that instead of x, x/2 will be used.

So the new function will be:

$f(x) = 25(4)^{\frac{x}{2}}$

Keywords: Population growth, Population growth function

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