The population of a city decreases by 3.7% per year. If this year's population is 132,000, what will next year's population be, to the nearest individual?

1 answer

To calculate next year's population after a decrease of 3.7%, we can use the formula:

\[ \text{Next year's population} = \text{Current population} \times (1 - \text{percentage decrease}) \]

Here, the percentage decrease is 3.7%, or 0.037 in decimal form. The current population is 132,000.

First, we calculate the factor by which the population will decrease:

\[ 1 - 0.037 = 0.963 \]

Now, we can calculate next year's population:

\[ \text{Next year's population} = 132,000 \times 0.963 \]

Calculating that:

\[ \text{Next year's population} = 127,596 \]

To the nearest individual, next year's population will be:

\[ \boxed{127596} \]