Gompertz Growth Value

Problem

The Gompertz growth model has the solution y(t) = k * exp(-b * exp(-c * t)), where k is the asymptote and b, c control the shape.

Given t, k, b, and c, return y(t).

Hint

As t grows, the inner exponential vanishes and y approaches k.

case 1

in: [0,100,1,1]

expected: 36.787944117144235

case 2

in: [1,100,1,1]

expected: 69.22006275553464

case 3

in: [10,100,1,1]

expected: 99.99546011007988

case 4

in: [0,50,0,1]

expected: 50

Starter codePython

def gompertz_value(t, k, b, c):
    # Your code here
    pass

4 test cases · run your code against them in the editor