Question

he initial rate of appreciation of a collectible toy may be modeled by the equation
50
=
10
e
3
k
, where 50 represents the current value and 3 represents the number of weeks that have passed. Which of these best represents the rate of appreciation, k?


0.23


0.54


1.30


1.79

Answer 1

50 = 10 e^{3k}
5 = e^{3k}
ln 5 = 3k → k = (ln 5)/3 ≈ 1.60944/3 ≈ 0.5365

So the best choice is 0.54.