The graph of f(t)=7•2^t shows the value of a rare coin in year t. what is the meaning of the y-intercept? a. every year, the coin is worth 7 more dollars b. when it was purchased (year 0), the coin was worth $7 c. in year 1, the coin was worth 14$ d. when it was purchased (year 0), the coin was worth $2

Option B

When it was purchased (year 0) the coin was worth $7

Step-by-step explanation:

we have

This is a exponential function of the form

where

a is the initial value

b is the base

In this problem we have

a=$7

b=2

b=1+r

so

2=1+r

r=1

r=100%

The y-intercept is the value of the function when the value of x is equal to zero

In this problem

The y-intercept is the value of a rare coin when the year t is equal to zero

therefore

The meaning of y-intercept is

When it was purchased (year 0) the coin was worth $7

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