Answer:
B. [tex]a=14,b=2[/tex]
Step-by-step explanation:
We have been given a function [tex]g(x)=14\cdot 2^x[/tex]. We are asked to find the amount a and the growth factor b in the exponential function.
We know that an exponential function is in form [tex]y=a\cdot b^x[/tex], where,
y = Final amount.
a = Initial amount,
b = Growth factor,
x = Time
Upon comparing our given graph with exponential growth function, we can see that the initial value (a) is 14 and growth factor is 2.
Therefore, option B is the correct choice.