Exponential models, half-life and logarithmic models Problem set B Answers

1.12 seconds

Doubling time = \(\ln2/k\)

\(S=45+75e^{-0.139t}\)

a = −0.124, b = 2.39

1. (a) y = 4.38
2. (b) x = 21.4

1. (a) \(T=15+55e^{-0.0154t}\)
2. (b) t = 111 minutes

1. (a) \(M=250e^{-0.0866t}\)
2. (b) 44.2 g

1. (a) a = 23.4, b = −4.48
2. (b) 13.1 °C
3. (c) 12.8 m

1. (a) 0.0237
2. (b) 38.6 years

1. (a) -0.000121
2. (b) 10500 years

1. (a) d = 10 and A = 60
2. (b) k = −0.231
3. (c) 11.9 cm

1. (a) \(b\ln 3\)
2. (b) 2.64