The value of a baseball card can be modeled by exponential decay. The value will decrease at a rate of 0.2% each yeah. The card was originally valued at $250 in the year 2000.

A- Use the exponential decay formula to write an equation to model the situation.
B- Use your equation from PART A to predict the value in 2011.
C- Sketch the graph of the equation you wrote in PART A. Find its asymptote, domain, and range.

1 answer

A: you have the starting value, and the decay factor, so

v(t) = 250 * 0.98^t
where t is the years since 2000

B: just plug in t=11

C: all pure exponentials look just the same, up to scaling.