To solve this problem, we need to use the formula for exponential growth, which is:

P = P0 * e^(rt)

where:
P is the future population,
P0 is the initial population,
r is the rate of growth, and
t is the time.

First, we need to find the rate of growth (r). We know the population in 1992 (P0 = 810) and in 1997 (P = 930), and the time between these years (t = 1997 - 1992 = 5 years). We can plug these values into the formula and solve for r:

930 = 810 * e^(5r)

To isolate r, we first divide both sides by 810:

930/810 = e^(5r)

Then take the natural logarithm (ln) of both sides:

ln(930/810) = 5r

Finally, solve for r:

r = ln(930/810) / 5

Now that we have r, we can predict the population in 2004. The time from 1992 to 2004 is t = 2004 - 1992 = 12 years. Plug P0 = 810, r, and t = 12 into the formula and solve for P:

P = 810 * e^(r*12)

Round P to the nearest whole number to get the predicted population in 2004.

Question

To solve this problem, we need to use the formula for exponential growth, which is:

P = P0 * e^(rt)

where:
P is the future population,
P0 is the initial population,
r is the rate of growth, and
t is the time.

First, we need to find the rate of growth (r). We know the population in 1992 (P0 = 810) and in 1997 (P = 930), and the time between these years (t = 1997 - 1992 = 5 years). We can plug these values into the formula and solve for r:

930 = 810 * e^(5r)

To isolate r, we first divide both sides by 810:

930/810 = e^(5r)

Then take the natural logarithm (ln) of both sides:

ln(930/810) = 5r

Finally, solve for r:

r = ln(930/810) / 5

Now that we have r, we can predict the population in 2004. The time from 1992 to 2004 is t = 2004 - 1992 = 12 years. Plug P0 = 810, r, and t = 12 into the formula and solve for P:

P = 810 * e^(r*12)

Round P to the nearest whole number to get the predicted population in 2004.

Knowee AI · Accepted Answer