The graph Y=(1.4)^t+8 function describes an exponential growth starting at 8 and increasing by 40% every time the independent variable increases by 1.
The given equation, Y=(1.4)^t+8, represents an exponential growth function. Here's what each part of the equation means:
Y: This represents the dependent variable, which is the value we are trying to find.
(1.4)^t: This is the independent variable raised to the power of "t". Here, 1.4 is the growth factor, which means that the value of Y increases by 40% every time t increases by 1. The ^ symbol indicates exponentiation.
+8: This is the constant term, which represents the initial value of Y when t is 0.
Therefore, this function describes an exponential growth starting at 8 and increasing by 40% every time the independent variable increases by 1.