Common Core: F-LE.1
Problem 13 of 18a1-013
A club had members at week , then , and members at weeks , and . Which rule gives the number of members after weeks?
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Solution walkthrough1:49
- Linear growth adds the same amount each step. Exponential growth multiplies by the same factor each step.
- Try adding. The jumps are , and . They are not equal, so the growth is not linear.
- Try multiplying: , , . The same factor, , means exponential.
- An exponential rule is : start at week , factor . So .
- Traps: uses only the first jump, swaps start and factor, adds instead.