Question

The population of Tokyo-Yokohama, Japan, was about 28,447,000 in 1995 and was projected to grow at an annual rate of 1.1%. Predict the population, to the nearest hundred thousand, for the year 2004.

Answer 1

To predict the population of Tokyo-Yokohama, Japan, for the year 2004, we can use the formula for exponential growth: Population = Initial Population x (1 + Growth Rate)^Time. Using the given values, the predicted population is approximately 32,900,000.

Step-by-step explanation:

To predict the population of Tokyo-Yokohama, Japan, for the year 2004, we can use the formula for exponential growth:

Population = Initial Population x (1 + Growth Rate)^Time

Where:

• Initial Population = 28,447,000
• Growth Rate = 1.1% or 0.011
• Time = 2004 - 1995 = 9 years

Substituting the values into the formula, we get:

Population = 28,447,000 x (1 + 0.011)^9

Calculating this, we find the predicted population for 2004 is approximately 32,868,279. Rounding to the nearest hundred thousand, the prediction is 32,900,000.

Answer 2

The formula for the annual growth can be written as:


`A=P(1+r)^(t)`

where,
P = Current population = 28,447,000
r = growth rate = 1.1% = 0.011
t = number of years = 9 years

Using the values in the formula, we get:


`A=28447000(1+0.011)^(9) =313911471`

Therefore, in 2004 the population of Tokyo-Yokohama Japan , nearest to hundred thousand will be 313,900,000 .