Identify the initial amount a and the growth factor b in the exponential function.
f(t)=1.4^t
A)a = 1, b = 0.4
B)a = 1.4, b = 0
C)a = 1.4, b = t
D)a = 1, b = 1.4***
Is this correct? If I'm wrong can you please explain why, thanks! (=
Never mind, I'm gonna stick with D.
D is right.
Anyone?
Wait, is the answer A?
Yes, your answer is correct. In the exponential function f(t) = 1.4^t, the initial amount (a) is 1 and the growth factor (b) is 1.4.
The initial amount (a) represents the starting value or the value at t=0. In this case, when t=0, the function f(0) = 1.4^0 = 1, so the initial amount is 1.
The growth factor (b) represents the rate of growth or decay. In this case, the base of the exponential function is 1.4, which means that for each step of t, the value of the function is multiplied by the growth factor of 1.4. Therefore, the growth factor is 1.4.
So, the correct answer is D) a = 1, b = 1.4.