Question

Use the given information for each situation below to fill in the missing representations.

Provide the missing representations for the following scenarios:

The population of a town is 25,000, and the growth rate is 3% per year. After 5 years, the population will be _______.

Answer 1

The population of the town after 5 years with an initial population of 25,000 and a 3% annual growth rate will be 28,982.

Step-by-step explanation:

To calculate the future population of a town after 5 years with an initial population of 25,000 and a growth rate of 3% per year, we would use the formula for exponential growth:

P = P0 × (1 + r)t

Where:

• P is the future population
• P0 is the initial population (25,000 in this case)
• r is the annual growth rate (0.03 for 3%)
• t is the number of years (5 years)

Using this formula, the calculation is:

P = 25,000 × (1 + 0.03)5

P = 25,000 × 1.1592740745

P = 28,981.85

After rounding to the nearest whole number, the population after 5 years will be 28,982.