3. [3/6 Points] DETAILS PREVIOUS ANSWERS SCALCET9 3.8.004. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A bacteria culture grows with constant relative growth rate. The bacteria count was 1,920 after 4 hours and 61,440 after 8 hours. (a) What is the relative growth rate? Express your answer as a percentage. (Round your answer to two decimal places.) 86.64 % per hr (b) What was the initial size of the culture? 60 bacteria (c) Find an expression for the exact number of bacteria after t hours, y(t). y(t) = 60(e) 0.8664t X (d) Find the number of bacteria after 5.5 hours. (Round your answer to the nearest whole number.) 7041 * bacteria (e) Find the rate of growth (in bacteria per hour) after 5.5 hours. (Round your answer to the nearest whole number.) 4519 * bacteria per hour (f) How many hours will it take for the population to reach 78,000? (Round your answer to two decimal places.) 8.28 hr