Answer:
B. When it was purchased (year 0), the coin was worth $3.
Step-by-step explanation:
We have been given graph of function
, which represents the value of a rare coin in the year t. We are asked to tell the meaning of the y-intercept.
We know that y-intercept is the point, where graph intersects y-axis. It is also known as the initial value.
The y-intercept of the function will be at
. Upon substituting
in our given formula, we will get:
![f(0)=3\cdot 2^0](https://tex.z-dn.net/?f=f%280%29%3D3%5Ccdot%202%5E0)
![f(0)=3\cdot 1](https://tex.z-dn.net/?f=f%280%29%3D3%5Ccdot%201)
![f(0)=3](https://tex.z-dn.net/?f=f%280%29%3D3)
So, the y-intercept of our given function would be 3.
Since the given function represents the value of a rare coin in the year t, so y-intercept
tell us that the value of coin is $3, when it was purchased and option B is the correct choice.