Exponential Growth

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Show your work for each problem.

1.
Which formula represents exponential growth?
1. a)
2. b)
3. c)
4. d)
2.
If something grows by 12% per year, what is the growth factor ?
3.
A population doubles every year. What is the growth factor?
1. a)
2. b)
3. c)
4. d)
4.
If , what is ?
5.
A bacteria colony starts with 100 cells and doubles every hour. How many cells after 3 hours?
6.
What is the difference between exponential and linear growth?
1. a)Linear multiplies; exponential adds
2. b)Both add the same amount each period
3. c)Linear adds a constant; exponential multiplies by a constant
4. d)Exponential is always faster than linear
7.
Calculate rounded to two decimal places.
8.
You invest 500 euros at 10% annual interest. How much after 2 years?
9.
A quantity triples every year. After 4 years, it will be multiplied by:
1. a)
2. b)
3. c)
4. d)
10.
Using the Rule of 70: If an investment grows at 7% per year, approximately how many years to double?
11.
A town of 20,000 people grows at 5% per year. What's the population after 3 years?
12.
An investment grew from 1000 to 1210 euros in 2 years. What was the annual growth rate?
1. a)10.5%
2. b)10%
3. c)5%
4. d)21%
13.
A population grew from 5000 to 8000 in 4 years. Find the annual growth rate (round to 1 decimal).
14.
How many years for 1000 euros to grow to 2000 euros at 10% annual interest? (Round to nearest whole number)
15.
You invest 2000 euros at 8% annually. How much after 5 years? (Round to nearest euro)
16.
Why does exponential growth eventually become unsustainable in real-world populations?
1. a)Growth rates always decrease naturally
2. b)The math formula breaks down
3. c)Resources become limited (food, space)
4. d)Numbers get too big to count