Problem: On March 28, 2008, the total U.S. population was increasing at a rate of 1 person every 16 seconds. The population figure for 2:21 P.M. EST on that day was 303714725.
1. Find the instantaneous rate of change for the population's growth at the time 2:21 P.M. EST, March 28, 2008.
-- Answer is labeled in 'people per 365-day year'
2. Assuming exponential growth at a constant growth rate k, what will the U.S. population be at 2:21 PM EST on March 28, 2015.
I don't really know where to start in this case. I'm guessing with "instantaneous rate of change" I'll need to take the derivative of something, but I don't know where I could pull out a function from this problem.
If anyone could help by giving me the first step or first couple of steps with explanation and hopefully I can figure out the rest...
1. Find the instantaneous rate of change for the population's growth at the time 2:21 P.M. EST, March 28, 2008.
-- Answer is labeled in 'people per 365-day year'
2. Assuming exponential growth at a constant growth rate k, what will the U.S. population be at 2:21 PM EST on March 28, 2015.
I don't really know where to start in this case. I'm guessing with "instantaneous rate of change" I'll need to take the derivative of something, but I don't know where I could pull out a function from this problem.
If anyone could help by giving me the first step or first couple of steps with explanation and hopefully I can figure out the rest...
