The Science Mоdel: A student hаs аn аgar-filled petri dish that is initially streak-scоred with 250 “bacteria M” cells at the beginning оf hour 1. The generation time for bacteria M is one hour (this means that the population of bacteria M has a growth rate of 100% per hour). At the end of hour 5, the agar plate is inadvertently exposed to UV-A light, which immediately kills half of the existing bacteria. That is, a correction of P(t+1) = 0.5 * P(t+1) is needed at hour 5, rounded down to the closest whole number. Exposure to UV-A light does not change the growth rate or the death rate. At the end of hour 10, the student returns to the lab again, and this time exposes the bacteria to UV-B light, which sterilizes them. That is, growth rate is reset to 0% at hour 10. The Problem: Write SYNTACTICALLY CORRECT MATLAB CODE to: Show in the Command Window how many live bacteria exist on the agar plate at the end of hour 10. This should be the ONLY thing displayed in the Command Window. Include a plot as a part of your answer showing the bacterial population size over time, from hour 1 through the end of hour 10. Include labels for axes and a title to the plot. To answer this quiz: Type the code into the space provided below That's it. DO NOT TRY AND USE MATLAB itself. DO NOT calculate anything by hand. ALL that is needed is the MATLAB code typed in.