Growth Models In Exercise of Section 10.3, the formula for

QUESTION:

Growth Models In Exercise of Section 10.3, the formula for the growth rate of a population in the presence of a quantity x of food was given as This was referred to as Michaelis-Menten kinetics.a. Find the rate of change of the growth rate with respect to the amount of food.________________b. The quantity A in the formula for f(x) represents the quantity of food for which the growth rate is half of its maximum. Using your answer from part a, find the rate of change of the growth rate when x = A.ExerciseGrowth Model The function is used in biology to give the growth rate of a population in the presence of a quantity x of food. This is called Michaelis-Menten kinetics. Source: Mathematical Models in Biology.a. What is a reasonable domain for this function, considering what x represents?________________b. Graph this function for K = 5 and A = 2.________________c. Show that y = K is a horizontal asymptote.________________d. What do you think K represents?________________e. Show that A represents the quantity of food for which the growth rate is half of its maximum.