Asked by Sydney
I have 2 sets of coordinates (1, 410) and (12, 788) and need to calculate the rate of change over time using y=ae^bt. Since I don't have a coordinate at 0, I can't figure out how to calculate my starting value, or a, to solve this.
Answers
Answered by
bobpursley
y=ae^bt
a) 410=ae^(b*1)
b) 788=ae^(12b)
divide equation a) by b)
410/788=e(b-12b)
take ln of each side
-11b=ln(420/788)
b= .057
Now , solve for a.
410=ae^(.057*1)
a= 410/1.0587=387
y= 387e^(.057t)
a) 410=ae^(b*1)
b) 788=ae^(12b)
divide equation a) by b)
410/788=e(b-12b)
take ln of each side
-11b=ln(420/788)
b= .057
Now , solve for a.
410=ae^(.057*1)
a= 410/1.0587=387
y= 387e^(.057t)
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.