based on the formula you provided, we can use it to solve the problem -
1= 200 (the starting amount)
r = 0.45 (the rate of increase per week)
t = 35/7 = 5 (the number of weeks)
Future Amount = I(1+r)^t
Future Amount = 200(1+0.45^5
Future Amount = 200(1.45)^5
Future Amount = 200(5.447)
Future Amount = 1090.94
answer - the colony would be approximately 1,090 bacteria microorganisms after 35 days.
hope this helps!!