Select all the correct locations on the table.Classify each situation as exponential growth, exponential decay, or linear.
Accepted Solution
A:
Exercise 1: exponential decay: The function is given by: y = A (b) ^ ((1/3) * t) Where, A = 600 We look for b: (480/600) * (100) = 80% b = 0.8 Substituting: y = 600 * (0.8) ^ ((1/3) * t) We check for t = 6 y = 600 * (0.8) ^ ((1/3) * 6) y = 384 Answer: exponential decay: y = 600 * (0.8) ^ ((1/3) * t) Exercise 2: linear: The function is given by: y = ax + b Where, a = -60 / 2 = -30 b = 400 Substituting we have: y = -30 * x + 400 We check for x = 4 y = -30 * 4 + 400 y = 280 Answer: linear: y = -30 * x + 400 Exercise 3: exponential growth: The function is given by: y = A (b) ^ ((1/3) * t) Where, A = 512 We look for b: (768/512) * (100) = 150% b = 1.5 Substituting: y = 512 * (1.5) ^ ((1/2) * t) We check for t = 4 y = 512 * (1.5) ^ ((1/2) * 4) y = 1152 Answer: exponential growth: y = 512 * (1.5) ^ ((1/2) * t)