Question

Write the exponential equation with 2.7% decay rate and a starting value of (.25)

Answer 1

Answer:

$f(x) = 0.25 ({0.973})^{x}$

Step-by-step explanation:

$f(x) = a( {b})^{x} \\ a = initial \: amount \\ b = decay \: factor \\ b = 1 - r \\ r = decay \: rate \: as \: a \: decimal$

$2.7 \times 100 = 0.027 \\ b = 1 - r \\b = 1 - 0.027 = 0.973$

$f(x) = a ({b})^{x} \\ a = 0.25 \\ f(x) = 0.25 ({0.973})^{x}$