Question

I have a formula for sales of homes that decreases from 2005 to 2010 shown through r(t)=412e^(-0.323t) billion dollars per year 0 ≤ t < 5 where t is the year since 2005. If this trend were to have continued into the indefinite future, estimate the total revenue from the sales that would have been sold. I really just want clarification. Am I meant to take ∫[0,∞]412e^(-0.323t)? I only was not sure because the specification of 2010 but I believe that fact is not relevant in this case.

Answer 1

yes.
t does not represent the actual date, but just the years since 2010.