Question

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

A. When it was purchased (year 0), the coin was worth $3.
B. In year 1, the coin was worth $6.
C. When it was purchased (year 0), the coin was worth $2.
D. Every year the coin is worth 3 more dollars.

Answer 1

The answer is the option A

When it was purchased (year
`0`), the coin was worth
`\$3`

Explanation:

we know that

The y-intercept of a function is the value of the function when the value of the independent variable is equal to zero

In this problem we have

`f(t)=3(2^(t))`

the independent variable is the variable t

so

Find the y-intercept

For
`t=0` ------> year zero

Find the value of the function

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

That means ----> When it was purchased (year
`0`), the coin was worth
`\$3`