The function f(x) = 25(4)x represents the growth of a bird population every year in a national park. Kyle wants to manipulate the formula to an equivalent form that calculates every half-year, not every year. Which function is correct for Kyle's purposes?

f(x) = 25(4)the x over 2 power

f(x) = twenty five halves(4)x

f(x) = 25(4 to the one half power)2x

f(x) = 50(2)x

Question

The function f(x) = 25(4)x represents the growth of a bird population every year in a national park. Kyle wants to manipulate the formula to an equivalent form that calculates every half-year, not every year. Which function is correct for Kyle's purposes?

 f(x) = 25(4)the x over 2 power

 f(x) = twenty five halves(4)x

 f(x) = 25(4 to the one half power)2x

 f(x) = 50(2)x

scorcher219396 · Answer

The second one

With the original equation, if you simplify it its 100x for one year, so for half a year it would be half that amount or 50x

The first one simplified is 25x
The third one simplified is 100x
The fourth is 100x