If the first point is (-2, 45/4) and the second point is (1, 10/3), how do I find the formula for exponential growth?
1 Answer
Any exponential growth/decay will fit the general form:
Use the two points to write two equations and then solve for
Explanation:
Substitute the point
Substitute the point
We can make A disappear by dividing equation [2] by equation [3]:
Substitute the value of
The exponential function and the natural logarithm are inverses, therefore, they cancel:
Use the point,
Substitute into equation [4]: