Cool Down
The tables show the cat population on two islands over several years. Describe mathematically, as precisely as you can, how the cat population on each island is changing.
1.
| year | 0 | 1 | 2 | 3 | 4 |
| number of cats on Meow Island | 2 | 6 | 18 | 54 | 162 |
| year | 0 | 1 | 2 | 3 | 4 |
| number of cats on Purr Island | 2 | 6 | 10 | 14 | 18 |
Your answers may vary, but here is an example:
The cat population on Meow Island is:
- tripling each year
- growing by a common ratio each year
The cat population on Purr Island is:
- adding 4 cats each year
- characterized by a common difference each year