A bacteria culture grows with constant relative growth rate. The bacteria count was 400 after 2 hours and 25,600 after 6 hours. (a) What is the relative growth rate? Express your answer as a percentage. (b) What was the intitial size of the culture? (c) Find an expression for the number of bacteria after hours. (d) Find the number of cells after 4.5 hours. (e) Find the rate of growth after 4.5 hours. (f ) When will the population reach 50,000? g