Homework SourseThe following table gives values of an exponential function
The following table gives values of an exponential function P. Give a formula for P(t) in the form P(t)=P initial a^t and also in the form P(t)=P initial e^rt. If rounding is necessary, round to 4 decimal places.
t 0 1 2 3
P(t) 60 94.8 149.784 236.659
t 0 1 2 3
P(t) 60 94.8 149.784 236.659
Solution
The common ratio is 1.58 so we have
P(t) = 60 (1.58)^t
94.8= 60 e^(r)
e^(r)= 94.8/60= 1.58
r ln e = ln 1.58
r= 60 e^(.457424847t)
