Use the doubling time to find the continuous percent growth rate and give a formula for the function.

Round your answer to two decimal places.

I found the doubling time to be 24 days and the continuous percent growth rate to be 2.89%

I need to do the second portion of the problem which is give the formula for the function. Also ensuring to round all coefficients to four decimal places if required

Y = ?

To find the formula for the function using the given doubling time and continuous percent growth rate, we can use the formula for exponential growth:

Y = A * e^(rt)

Where:
- Y is the final value or population size
- A is the initial value or starting population size
- e is the base of the natural logarithm (approximately 2.71828)
- r is the continuous percent growth rate (as a decimal)
- t is the time or doubling period

In this case, the doubling time is 24 days and the continuous percent growth rate is 2.89%. First, we need to convert the doubling time to the continuous growth rate:

r = 0.6931 / t

Since the doubling time is 24 days, we have:

r = 0.6931 / 24

r ≈ 0.0289

Next, we substitute the values into the exponential growth formula:

Y = A * e^(rt)

Assuming you want the formula in terms of Y, you can use the given doubling time and continuous percent growth rate to find the formula for the function:

Y = A * e^(0.0289t)

Since we don't have the initial value A, we can't determine the actual formula without more information. However, you can use this formula and substitute the appropriate values once you have the initial value A.