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Algebraic Fishing Patterns
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Name:Date:
Algebraic Fishing Patterns
A local marine team is checking how many fish pass a camera each day. Use the tables and algebra to spot, describe and test each pattern. Let n represent the day number. Show your working where you can.
Day, n
1
2
3
4
5
Fish spotted
4
8
12
16
20
1.For Pattern A, how many more fish are spotted each day? Write the constant increase.
2.Choose the rule that gives the number of fish spotted on day n in Pattern A.
- 4n
- n + 4
- 4n + 1
- n − 4
3.Use your rule for Pattern A to predict the number spotted on day 8. Show the substitution.
4.On day 15, the camera recorded 60 fish in Pattern A. Explain how this checks your rule.
Day, n
1
2
3
4
5
Fish spotted
10
13
16
19
22
5.For Pattern B, the count rises by the same amount each day. What is that increase?
6.Complete the rule for Pattern B: fish spotted = 3n + .
7.Use the Pattern B rule to predict the count on day 10.
8.A third camera pattern follows the rule 5n + 2. How many fish does it record on day 6?
9.A volunteer says Pattern B's rule is 3n + 10 because the first count is 10. Is the volunteer correct? Explain using day 1.
2 printable pages
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