# Exponential growth

In this lesson, we will learn about the exponential function and how it relates to powers of n.

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

# Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Q1.If y = 2^n, what is the value of y when n = 5?

1/5

Q2.If y = 5^n, what is the value of y when n = -3?

2/5

Q3.You are given that 6^a < 220 < 6^b and that 'a' and 'b' are consecutive integers. What are the values of 'a' and 'b'?

3/5

Q4.y = 9^x would cut the y-axis at the coordinate...

4/5

Q5.y = 2x is an example of an exponential.

5/5

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

# Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Q1.If y = 2^n, what is the value of y when n = 5?

1/5

Q2.If y = 5^n, what is the value of y when n = -3?

2/5

Q3.You are given that 6^a < 220 < 6^b and that 'a' and 'b' are consecutive integers. What are the values of 'a' and 'b'?

3/5

Q4.y = 9^x would cut the y-axis at the coordinate...

4/5

Q5.y = 2x is an example of an exponential.

5/5

# Video

Click on the play button to start the video. If your teacher asks you to pause the video and look at the worksheet you should:

• Click "Close Video"
• Click "Next" to view the activity

Your video will re-appear on the next page, and will stay paused in the right place.

# Worksheet

These slides will take you through some tasks for the lesson. If you need to re-play the video, click the ‘Resume Video’ icon. If you are asked to add answers to the slides, first download or print out the worksheet. Once you have finished all the tasks, click ‘Next’ below.

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

# Exponential Growth

Don’t worry if you get a question wrong! Forgetting is an important step in learning. We will recap next lesson.

Q1.Starting with 100 bacteria, how many would there be after 1 hour if the number of bacteria increases by 20% every 12 minutes?

1/5

Q2.Which of the following is the closest approximation to e?

2/5

Q3.If a bacterium increases by 1% in 2 minutes, would this form an exponential curve?

3/5

Q4.What is the coordinate of intersection with the y-axis for y = e^x?

4/5

Q5.If an investment doubled every 3 years, would the growth of the investment form an exponential curve?

5/5

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

# Exponential Growth

Don’t worry if you get a question wrong! Forgetting is an important step in learning. We will recap next lesson.

Q1.Starting with 100 bacteria, how many would there be after 1 hour if the number of bacteria increases by 20% every 12 minutes?

1/5

Q2.Which of the following is the closest approximation to e?

2/5

Q3.If a bacterium increases by 1% in 2 minutes, would this form an exponential curve?

3/5

Q4.What is the coordinate of intersection with the y-axis for y = e^x?

4/5

Q5.If an investment doubled every 3 years, would the growth of the investment form an exponential curve?

5/5

# Lesson summary: Exponential growth

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## Time to move!

Did you know that exercise helps your concentration and ability to learn?

For 5 mins...

Move around:
Climb stairs

On the spot:
Dance