Find the Growth Factor of an Exponential Function

Let the function $f(x) = a imes b^{x}$ represent an exponential growth model, where $a$ is the initial amount and $b$ is the growth factor. If the values of the function are known for three points: $f(0) = 3$, $f(3) = 75$, and $f(6) = 1875$, determine the value of $b$. Enter your answer as a decimal or fraction in the grid below.