Cells often use receptors to transport nutrients from outside of the cell membrane to the inner cell. The rate, R , at which nutrients enter the cell depends on the concentration, N , of nutrients outside the cell. the function R=aN / b + N models the amount of nutrients absorbed in one hour where a and b are positive constants.
a. Find R when N=b. what does this tell you about b? R=
b. Compute and interpret dR/dN. When is R increasing? when is R decreasing? dR/dN=