Which equation below represents the pattern in the following table? Noah's age: 2 5, 9, 12, 17 Sarah's age: 8, 11, 15, 18, 23
a) n = 3s
b) n = s - 6
c) s = n - 6
d) s = 3n
The pattern in the table shows that Noah's age is increasing by 3 each time, while Sarah's age is increasing by 3 each time. This means that the equation representing the pattern is s = 3n.
Therefore, the correct answer is d) s = 3n.
Yes
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Oh no
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To analyze the pattern in the table, let's look at the changes in Noah's and Sarah's ages separately.
For Noah's age:
The differences between consecutive terms are 3, 4, 3, and 5. It is not a consistent or straightforward pattern.
For Sarah's age:
The differences between consecutive terms are 3, 4, 3, and 5. It is the same pattern as Noah's age.
Based on the similarities in the patterns of the differences, we can conclude that Noah's age is dependent on Sarah's age.
Thus, the correct equation that represents the pattern in the table is:
c) s = n - 6
To determine the equation that represents the pattern in the table, we need to analyze the relationship between Noah's age (n) and Sarah's age (s).
Looking at the values in the table, we can observe that Noah's age increases by 3 each time (2 + 3 = 5, 5 + 3 = 8, etc.), while Sarah's age increases by 3 each time as well (8 + 3 = 11, 11 + 3 = 14, etc.).
Therefore, the equation that represents the relationship between Noah's age (n) and Sarah's age (s) is s = n + 3.
None of the given options exactly match this equation. However, if we manipulate the options to match the equation we derived, we can determine that the correct option would be:
c) s = n + 3
So, the equation that represents the pattern in the table is s = n + 3.