172k views
0 votes
The price of 9-volt batteries is increasing according to the function below, where t is year after January 1, 1980. During what year will the price reach 3 dollars?

p(t)=1.1*e^0.047t

1 Answer

3 votes
We are given with the equation p(t) = 1.1*e^0.047t where p represents the price, t represents the time in years. price varies exponentially with time. If p is 3 dollars in the future, then

3 = 1.1*e^0.047t
ln 2.727272 = 0.047 t
t = 21. 35 years or year 2001.
User Dexis
by
8.9k points