Question

POPULATION A city's population is 358,000 and is decreasing at an annual rate of 0.25%.

Which function represents the estimated population after "t" years?

Answer 1

The function that represents the estimated population after t years is P = 358,000 * e^(-0.0025t).

Step-by-step explanation:

The function that represents the estimated population after t years can be found using the exponential growth formula. The formula is given by:

P = Poert

Where:

• P is the estimated population after t years
• Po is the initial population
• r is the annual growth rate, which is -0.0025 in this case (since the population is decreasing)
• t is the number of years

Substituting the given values, the function becomes:

P = 358,000 * e-0.0025t

Thus, the function that represents the estimated population of the city after t years is P = 358,000 * e-0.0025t.

Answer 2

pop'n = 358000*(1-0.25%)^t

Step-by-step explanation:

pop'n = 358000

decreasing rate = 0.25%

after t years

pop'n = 358000*(1-0.25%)^t