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.

Respuesta :

Answer:

It's A. Hope that this answer helps.

APEX


Answer:

The answer is the option A

When it was purchased (year [tex]0[/tex]), the coin was worth [tex]\$3[/tex]

Step-by-step 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

[tex]f(t)=3(2^{t})[/tex]

the independent variable is the variable t

so

Find the y-intercept

For [tex]t=0[/tex] ------> year zero

Find the value of the function

[tex]f(0)=3(2^{0})=\$3[/tex]

That means ----> When it was purchased (year [tex]0[/tex]), the coin was worth [tex]\$3[/tex]