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Which of the following sentences describes the relationship between the corresponding terms in the two patterns?

A) The S pattern increases by 9 each time, while the T pattern decreases by 9.
B) The S pattern and T pattern increase by 9.
C) The S pattern increases by 9 each time, while the T pattern increases by 27.
D) The S pattern increases by 27 each time, while the T pattern increases by 9.

1 Answer

5 votes

Final answer:

Without numerical data, we cannot determine the exact relationship between the S pattern and T pattern. The information suggests one pattern increases and the other decreases, but we need more data to conclude the exact factors of change.

Step-by-step explanation:

The question posed is asking to identify the relationship between two patterns, S and T. The presented options suggest that S and T either increase or decrease by certain amounts. To determine which option correctly describes the relationship between the S pattern and T pattern, let's analyze some additional provided information:

  • Line B is a decreasing line while line A is an increasing line, with line B being much steeper than line A.
  • Line A is a decreasing line while line B is an increasing line, with line A being much steeper than line B.

Based on this information, it appears that one line represents an increasing pattern, and the other represents a decreasing pattern, and we know that the steepness of a line on a graph could imply a larger increase or decrease in values. Since the exact numerical relationships between S and T aren't provided in the details, we cannot determine the precise increase or decrease factors.

Nevertheless, we can deduce some relationship aspects: If one pattern increases and the other decreases, option B is

immediately incorrect because it suggests both patterns increase by 9. Similarly, if one pattern increases by one factor and another pattern by a significantly different factor due to steepness, options A, which suggests both patterns change by 9 but in opposite directions, and B are less likely to be correct.

Given the lack of numerical data to substantiate the exact factors of increase or decrease for the S pattern and T pattern, a definitive answer based on the available information cannot be provided. More data points or specific values for S and T are needed to conclude accurately.

User Cory Nelson
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