100t The population of a culture of cells grows according to the function P(t) = 7+ 1, where t 2 0 is measured in weeks. Complete parts (a) and (b) below. a. What is the average rate of change in the population over the interval [0,24]? If a function f is continuous on the closed interval [0,24] and is differentiable on (0,24), then which of the following shows the average rate of change of f on [0,24]? f(24) - f(0) A. Average Rate of Change : 24 - 0 f(24) - 24 O B. Average Rate of Change = f(0) - 0 24 - 0 O C. Average Rate of Change = f(24) - f(0) 0 + 24 O D. Average Rate of Change = F(0) + f(24) The average rate of change in the population over the interval [0,24] is 4 cells/week. (Simplify your answer.) b. At what point of the interval [0,24] is the instantaneous rate of change equal to the average rate of change? t= ] (Simplify your answer.)