Q:

The graph of f(t)=7β€’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 dollarsB. When it was purchased (year 0), the coin was worth $7C. In year 1, the coin was worth 14$D. When it was purchased (year 0), the coin was worth $2

Accepted Solution

A:
Answer:Option BWhen it was purchased (year 0) the coin was worth $7Step-by-step explanation:we have[tex]f(t)=7(2)^{t}[/tex]This is a exponential function of the form[tex]y=a(b)^{x}[/tex]wherea is the initial valueb is the baseIn this problem we havea=$7b=2b=1+rso2=1+rr=1r=100%The y-intercept is the value of the function when the value of x is equal to zeroIn this problemThe y-intercept is the value of a rare coin when the year t is equal to zero[tex]f(0)=7(2)^{0}[/tex][tex]f(0)=\$7[/tex]thereforeThe meaning of y-intercept is When it was purchased (year 0) the coin was worth $7