Question

Decide whether the function is an exponential growth or exponential decay function, and find the constant percentage rate of growth or decay.

f(x) = 2479 ⋅ 0.9948x

Answer 1

Consider the function f ( x ) = 2479 ⋅ 0.9948x First compare this with f ( x ) po ( 1 + r ) ^ 2 We get po = 2479 And 1 + r = 0.9948 = 1 – 0.0052 r = -0.0052 < 0 Therefore, f is an exponential decay function with a decay rate of 0.0052 x 100 = 0.52%