Question

A city's population is represented by the function P=25,000(1.0095)t , where t is time in years.

Answer 1

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Step-by-step explanation:

Answer 2

A growth function has the following form.

$P=P_0(1+ \frac{r}{n} )^{nt}$

where $P_0$ = Original amount,
r = annual rate of change,
n = number of periods,
t = time in years

Since the time is in years, we need to convert t into days. We know that 1 year = 365 days. So t years = 365t days. 

So in this case, n = 365, r = 0.0095.

Then the function is rewritten as follows.

$P=25,000(1+ \frac{0.0095}{365})^{365t}$

The daily growth rate would be $\frac{0.0095}{365}= 0.00003 = 0.003%$