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,

answer: ok

step-by-step explanation:

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is