This is the concept of exponential growth, To get the number of bacteria after 10 days we use the formula: f(t)=ae^(kt) where; a=initial number=5000 k=constant of proportionality= 0.04 t=time=10 days f(t)=future number thus the number of bacteria in 10 days will be: f(t)=5000e^(0.04*10) f(t)=7,459.12 The answer is 7,459.12
We know that the culture of bacteria has 5,000 bacteria today. Also : p = 4 % = 0.04, and t = 10 ( 10 days from now ) The formula is: A = P * ( 1 + p )^t A = 5,000 * ( 1 + 0.04 ) ^10 A = 5,000 * 1.04^10 A = 5,000 * 1.48 A = 7,401 Answer: There will be 7,401 bacteria.
