Step 1 :Given the table of values, we are asked to write an equation that will represent the exponential growth or decay.
Step 2 :The given table represents an exponential function. The y-values are increasing by a factor of 4 as the x-values increase by 1. This suggests that the base of the exponential function is 4.
Step 3 :The initial value (when x=0) is 15. Therefore, the equation of the function is of the form \(y = ab^x\), where a is the initial value and b is the base of the exponential function.
Step 4 :The equation that represents the exponential growth is \(\boxed{y = 15 \cdot 4^x}\).