Unit 4: Contextual Applications of Differentiation 61. Let W be a differentiable function such that W(t) represents the amount of water in a tank in gallons after t hours. What is the best interpretation of W'(4) = 3? A. The amount of the water in the tank is 3 gallons at t = 4 hours. B. The amount of water in the tank is increasing at a rate of 3 gallons per hour at t = 4 hours. C. The rate of change of the amount of water in the tank is increasing at a rate of 3 gallons per hour at t = 4 hours. D. The average amount of water in the tank is 3 gallons at t = 4 hours. 62. The rate at which acorns are produced by an oak tree after t years is represented by the differentiable function A(t), measured in acorns per year. What is the best interpretation of A'(3) > 0? A. The number of acorns produced by the oak tree at t = 3 years is positive. B. The number of acorns produced by the oak tree is increasing at t = 3 years. C. The rate at which acorns are produced by the oak tree is increasing at t = 3 years. D. The average number of acorns produced by the oak tree at t = 3 years is positive. 63. If R(t) = to represents the number of rhinos who are in a forest after t years, what is the rate of change of the number of rhinos in the forest at t = 2 years? A. 6 B. 8 C. 12 D. 2464. If the differentiable function P(t) represents the rate at which pineapples are shipped by a distributor, measured in pineapples per week, after t weeks, which of the following statements would justify that the number of pineapples being shipped is increasing at t = 4 weeks? A. P(4) > 0 B. P'(4) > 0 C. P(4)