g. 100% increase 14100 = 2.00 2. In 1990, the population p of India was about 870.5 million people. By 1995, there were about 960.9 million people. The equation p = 870.5 (1.021)' approximates the number of people, in millions, in terms of the number of years t since 1990. • a. By what factor does the number of people grow in one year? 108 b. If d is time in decades, write an equation expressing the number of people in millions, p, in terms of decades, d, since 1990. c. Use the model p = 870.5 (1.021)' to predict the number of people in India in 2015. d. The 2015, the population of India was 1,311 million. How does this compare with the predicted number? ​

Respuesta :

Answer:

18.08 million people increase per year

Step-by-step explanation:

870.5 to 960.9 difference in 5 years.

960.9- 870.5 divided by 5 is your formula

comes to a 18.08 million people increase per year

Here are some solutions in solving the problems about India's population:

a. Growth Factor in One Year:

The equation tells us that the population increases by a factor of `1.021` each year. This represents a 102.1% increase.

b. Equation for Decades:

To express the equation in terms of decades `d` since 1990, we need to adjust the exponent:

- One year is 0.1 decades.

- Therefore, `t = 0.1d`.

Substitute this into the original equation:

```

p = 870.5 * (1.021)^(0.1d)

```

c. Predicted Population in 2015:

2015 is 25 years (or 2.5 decades) after 1990. Substitute `d = 2.5` into the modified equation:

```

p = 870.5 * (1.021)^(0.1 * 2.5) ≈ 1252.4 million

```

d. Comparison with Actual Population:

The predicted population in 2015 is 1252.4 million, while the actual population was **1311 million**. This means the model **underestimates** the actual population by about **58.6 million**.

Possible reasons for the underestimation:**

* The model assumes a constant growth rate, which may need to be more accurate. Factors like changes in birth and death rates, migration patterns, and economic factors can complexly influence population growth.

* The model is based on data from 1990 and 1995; population trends might have changed over time.

Therefore, while the model provides a general estimate, it's essential to acknowledge its limitations and potential inaccuracies.

The graph below will show how India's population growth is projected and actual.

Ver imagen dimassatriani