point) The count in a bacteria culture was 500 after 10 minutesand 32518 after 30 minutes. Assume the growth can be modelledexponentially by a function of the form Q(t)=A e rt Q(t)=Aert ,where t t is in minutes. (a) Find the relative growth rate, with atleast the first 5 digits after the decimal point entered correctly:r= r= equation editor Equation Editor (b) What was the initial sizeof the culture? Round your answer to the closest integer. equationeditor Equation Editor (c) Find the doubling period (in minutes).equation editor Equation Editor (d) Find the population after 110minutes. Use your answer to part (b) as the initial amount.equation editor Equation Editor (e) When will the population reach15000? After
