Answer:
It looks like there are a few issues with your program.
First, the line hours += numHours should be hours += 1. This is because you want to increment the hours variable by 1 each time through the loop, not by the number of hours required to achieve the growth rate.
Second, you are only multiplying the population by the growth rate once per iteration of the loop, but you should be doing it every time hours is less than or equal to totalHours. You can fix this by moving the population *= growth line inside the loop's if statement, like this:
while numHours < totalHours:
if hours <= totalHours:
population *= growth
hours += 1
if hours >= totalHours:
break
Finally, you are using the variable numHours in your while loop condition, but it should be hours. You should change while numHours < totalHours: to while hours < totalHours:.
With these changes, your program should work correctly for the test case you provided. Here is the modified version of your program:
organisms=int(input("Enter the initial number of organisms:"))
growth=float(input("Enter the rate of growth [a real number > 1]:"))
numHours=int(input("Enter the number of hours to achieve the rate of growth:"))
totalHours=int(input("Enter the total hours of growth:"))
population = organisms