Final answer:
To find the growth factor, divide the final value by the initial value. The exponential decay constant represents the rate of decay and can be found by taking the natural logarithm of the growth factor divided by the time. The initial value is the starting point of the growth curve, and the rate of change describes how the dependent variable changes with respect to the independent variable.
Step-by-step explanation:
Growth Factor and Exponential Decay Constant
To find the growth factor, you need to find the ratio of the final value to the initial value.
The growth factor is calculated by dividing the final value by the initial value.
On the other hand, the exponential decay constant represents the rate at which an exponential decay occurs.
It can be found by taking the natural logarithm of the growth factor and dividing it by the time it takes for the decay to occur.
Initial Value and Rate of Change
The initial value represents the starting point of the exponential or logistic growth curve. It is the value of the dependent variable when the independent variable is zero.
The rate of change, also known as the derivative, describes how the dependent variable changes with respect to the independent variable.
It can be found by taking the derivative of the exponential or logistic growth equation.