Question

CAN SOMEONE PLEASE HELP ME

The graph of f(t) = 3 x 2^t shows the value of a rare coin in the year t. What is the meaning of the y-intercept?

Answer 1

The y-intercept is where the curve crosses through the y axis (it intercepts it). In this case the y intercept would be worth three dollars at year 0. As years are time, and time is generally placed along the x axis.

Answer 2

B. When it was purchased (year 0), the coin was worth $3.

Explanation:

We have been given graph of function
`f(t)=3\cdot 2^t`, 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
`t=0`. Upon substituting
`t=0` in our given formula, we will get:

`f(0)=3\cdot 2^0`

`f(0)=3\cdot 1`

`f(0)=3`

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
`(t=0)` tell us that the value of coin is $3, when it was purchased and option B is the correct choice.