The table below contains data from an experiment to determine the growth rate of bacteria, k, as a function of oxygen concentration, c:

c (mg/L) 0.5 0.8 1.5 2.5 4

k (per day) 1.1 2.4 5.3 7.6 8.9

A) Fit this data to a curve of the form:k =(Ac^2)/(B+c^2) Make sure to display and identify the values you get for A and B. Hint: transform the curve in c and k to a polynomial in (1/c2) and (1/k)

B) Plot the data points and the approximating function over the range c = 0 to 4.5 on a single figure. Use diamonds to represent the data points, a green dashed line for the approximating curve.

C) Estimate the growth rate at c = 2 mg/L using your approximating function.

PROGRAMMING LANGUAGE IS MATLAB