Question

Select all the correct locations on the table.

Answer 1

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)