A =

bacteria_count(C, r, K, t) %"bacteria_count" accepts inputs and outputs bacteria population % Four input variables are used in the following equatio BacteriaPop =(C.*exp(r.*t))./(1+(C./K).*exp(r.*t));

B =

function bacteria_plot() r=1; C=100; tval=[0:1:20]; Kval=[1000,3000,5000];

for i=1:length(Kval) K=Kval(i); for j=1:length(tval) t=tval(j); population(j)=bacteria_count(C,r,K,t); % find the population for given t end hold on plot(tval,population); % plot the time vs population for some constant K end

legend('K=1000','K=3000','K=5000'); % legend of plots title('Model of Population of bacteria'); % title of the plot xlabel('Time'); % x-axis label ylabel('Population'); % y-axis label

Could someone help with part c and d.

Sam, a biological engineer, is modelling the population of bacteria (B) grow ing on petri dish. Sam observes that the growth over time of the bacteria fits the equatiorn Cert 1. (AMS Submission) Write a MATLAB function that accepts four inputs C, r, K and t and outputs bacteria population. The function should work given t is a scalar or a vector. You may assume that all other inputs are scalars. 2. (AMS Submission) By setting r = 1, C-100 and t-0 : 20, plot the bacteria growth for K-1000, K 3000, and K-5000. What does K represent? 3. Sam starts with 500 bacteria in his petri dish. Seven days later, the number of cells has doubled. Given that the petri dish can support a maximum of 9000 cells, calculate the values of C, r and K. Plot the solution and comment whether the plot matches Sam's observations. 4. (AMS Submission) Assume that each time bacteria is grown, Sam records the initial bacteria population, the time it takes for the initial population to double, and the final (maximum) population. Create a function that will tell Sam the values of C, r and K