Question

PLEASE HELP!!!!! I DONT UNDERSTAND!!!! :(

A city's population is represented by the function P=25,000(1.0095)t , where t is time in years.
How could the function be rewritten to identify the daily growth rate of the population?
What is the approximate daily growth rate?

Answer 1

there are 365 days in a year, well,unless is a leap-year, but we're assuming 365 days per year, now, "t" is how many years it takes for population to grow to "P" much, however, 1 day in year terms is really just 1/365 year or about 0.003 years, and 2 days is just 2/365 year, and 3 days is 3/365 year and so on, thus,


`\bf \stackrel{\textit{in years}}{P=25,000(1.0095)^t}\qquad \qquad \qquad \stackrel{\textit{in days}}{P=25,000(1.0095)^{(t)/(365)}}`