Exponential growth
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Lesson details
Key learning points
- In this lesson, we will learn about the exponential function and how it relates to powers of n.
Licence
This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.
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5 Questions
Q1.
If y = 2^n, what is the value of y when n = 5?
1
10
2
Q2.
If y = 5^n, what is the value of y when n = -3?
-1/125
-125
125
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'?
a = 1, b = 4
a = 2, b = 3
a = 3, b = 7
Q4.
y = 9^x would cut the y-axis at the coordinate...
(1,0)
y = 1
y = 9
Q5.
y = 2x is an example of an exponential.
True
5 Questions
Q1.
Starting with 100 bacteria, how many would there be after 1 hour if the number of bacteria increases by 20% every 12 minutes?
120
248
249
Q2.
Which of the following is the closest approximation to e?
2.7
2.7182
3.14
Q3.
If a bacterium increases by 1% in 2 minutes, would this form an exponential curve?
No
Q4.
What is the coordinate of intersection with the y-axis for y = e^x?
(0, 0)
(1,0)
y = 1
Q5.
If an investment doubled every 3 years, would the growth of the investment form an exponential curve?
No