The population of a city decreases by 4% per year. If this year's population is 291,000, what will next year's population be, to the nearest individual?

1 answer

To find next year's population after a decrease of 4%, we can calculate it using the formula for percentage decrease:

\[ \text{New Population} = \text{Current Population} \times (1 - \text{Rate of Decrease}) \]

In this case, the current population is 291,000 and the rate of decrease is 4%, which can be expressed as 0.04. So, we can calculate:

\[ \text{New Population} = 291,000 \times (1 - 0.04) \]

Calculating \(1 - 0.04\):

\[ 1 - 0.04 = 0.96 \]

Now, substituting this into the equation:

\[ \text{New Population} = 291,000 \times 0.96 \]

Now perform the multiplication:

\[ \text{New Population} = 279,360 \]

To find the population to the nearest individual:

\[ \text{Next year's population} \approx 279,360 \]

Thus, the population of the city next year will be approximately 279,360 individuals.