The function f(x) = 15(2)^x represents the growth of a frog population every year in a remote swamp. elizabeth wants to manipulate the formula to an equivalent form that calculates every half-year, not every year. which function is correct for elizabeth's purposes? f(x) = 15(2^1/2)^2x f(x) = 15(2^2) ^x/2 f(x) = 15/2(2)^x f(x) = 30(2)^x

Step-by-step explanation:

The general equation for exponential growth is,

where,

a = initial amount,

r = rate of growth,

y = future amount,

x = time.

The function represents the growth of a frog population every year in a remote swamp.

where 15 is the initial amount of frog.

As Elizabeth wants to manipulate the formula to an equivalent form that calculates every half-year, so putting in the general function,

Now we have to find the value of r.

As we will get same future amount, irrespective to the function used, so comparing the old function with the new function,

Multiplying the exponents of both sides by

Squaring both sides,

Putting the value of r, in the general equation,

step-by-step explanation:

answer: haha (: i’ll go see what it is

step-by-step explanation: