Question

The graph of f(t) = 4.2 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 $2.

B. When it was purchased (year 0), the coin was worth $4.

C. In year 1, the coin was worth $8.

D. Every year the coin is worth 4 more dollars.

Answer 1

B

Explanation:

Answer 2

Given:

The graph of
`f(t)=4 \cdot 2^t` shows the value of a rare coin in year t.

We need to determine the meaning of the y - intercept.

Meaning of the y - intercept:

Here, t represents the x - axis and f(t) represents the y - axis.

The value of y - intercept is the value of y when x = 0.

Hence, the the value of f(t) can be determined by substituting t = 0 in the function
`f(t)=4 \cdot 2^t`

Thus, we have;

`f(0)=4 \cdot 2^0`

`f(0)=4`

Thus, the value of the y - intercept is 4.

The y - intercept represents the value of the rare coin in year 0.

Therefore, the meaning of the y - intercept is "When it was purchased (year 0), the coin was worth $4".

Hence, Option B is the correct answer.