Question

At the beginning of year 2000, the population in Batu Pahat is 75,000 people. If the city is growing at the rate of 1.3% per year,

p (a) find a formula for th term of the sequence that gives the population years from year 2000

Answer 1

The formula for the population of Batu Pahat years from the year 2000, with a growth rate of 1.3% per year, is P(t) = 75,000 * e^(0.013t), where t represents the number of years after 2000.

Step-by-step explanation:

To find a formula for the population of Batu Pahat years from the year 2000 given an annual growth rate of 1.3%, we can use an exponential growth model. The formula to calculate future population based on exponential growth is P(t) = P0 * e^(rt), where P(t) is the future population, P0 is the initial population, r is the rate of growth, and t is the time in years since the initial year.

To apply this formula to Batu Pahat:

• P0 is the initial population, which is 75,000.
• r is the annual growth rate expressed as a decimal, which is 0.013 for a 1.3% growth rate.
• t is the number of years since the year 2000.

Therefore, the formula is:

P(t) = 75,000 * e^(0.013t)

This is the formula that will give us the population of Batu Pahat in any year after 2000 when we substitute t for the number of years since 2000.