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Exponential Growth and Population Modeling

Exponential Growth and Population Modeling

Assessment

Interactive Video

Mathematics, Science, Geography

9th - 12th Grade

Practice Problem

Hard

Created by

Ethan Morris

FREE Resource

The video tutorial explains how to model the population growth of India using an exponential function. Starting with a population of 1.21 billion in 2010 and a growth rate of 1.44% per year, the tutorial demonstrates how to write an exponential function to predict the population in 2025. The function is defined as p(t) = 1.21 * 1.0144^t, where t is the number of years after 2010. By calculating t as 15 for the year 2025, the predicted population is approximately 1.50 billion. The tutorial concludes by comparing this growth to the current population of the United States, highlighting the significant increase in India's population over 15 years.

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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What was the population of India in 2010?

1.44 billion

1.21 billion

1.00 billion

1.50 billion

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

At what annual rate does the population of India grow?

1.00%

1.21%

1.50%

1.44%

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which formula is used to model exponential growth?

f(x) = a + bx

f(x) = a * b^x

f(x) = a - b^x

f(x) = a / b^x

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the exponential growth formula, what does 'a' represent?

Growth rate

Final amount

Time period

Initial amount

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the growth rate expressed in the exponential function?

As a percentage

As a fraction

As a whole number

As a decimal

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the base year used in the population model?

2025

2020

2000

2010

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many years after 2010 is the population predicted for 2025?

10 years

20 years

25 years

15 years

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