'''
A bacterial population grows exponentially according to this equation:
N(t) = N_0 * e^(rt), where N(t) is number of bacteria in time t, N_0 is 
initial number of bacteria, r is growth rate, and t is time.

Exercise A: Population size

Given N_0 = 1,000 and r = 0.2 per hour, calculate bacterial population 
size every hour for time ranging from 0 to 48 hours. Use NumPy arrays.

'''

# Your code here


'''
Exercise B: Induction of protein expression

In the lab, you're growing a culture of 100 mL of Escherichia coli that you 
transformed with a plasmid containing your favourite protein-coding gene. The 
initial number of cells is 2 * 10^6. You want to grow E. coli until the culture 
reaches an optical density (OD_600) of 0.6. This value indicates an exponential
growth phase and is optimal time for induction of protein expression.

Knowing that for E. coli 1 OD_600 = 5 * 10^8 cells/mL and that it grows with a 
rate of 0.3 per hour, calculate how much time you need to grow E. coli before 
induction.
'''

# Your code here