Using "^" for powers, you can write as:y = ab^x
or alternatively as:
y = a exp(kx)
where a, b, k are different constants, and exp() is the exponential function (e^x).
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Exponential Growth is when the growth rate of a mathematical function is proportional to the function's current value. Exponential growth is when an animal or whatever object increasing at an increasing rate. For example 2, 4, 8, 16, 32, 64 etc. This is exponential growth because it is multiple by a consistent number, or two. The key part is that is it multipled not added which would be lineal growth.
That means that the growth is equal to, or similar to, an exponential function, which can be written (for example) as abx, for constants "a" and "b". One characteristic of exponential growth is that the function increases by the same percentage in the same time period. For example, it increases 5%, or equivalently by a factor of 1.05, every year.
implementation of exponential groth
No, the equation y = 102x is not exponential. An exponential function is of the form y = a * b^x, where a and b are constants. In this case, the equation y = 102x is a linear function, as it represents a straight line with a slope of 102 and no exponential growth or decay.
Yes. Anything that multiplies repeatedly like that is exponential, also sometimes referred to as geometric.