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Let n equal 3α + 2b - 7. What happens to the value of n if the value of a increases by 2 and the value of b decreases by 1?
  • a)
    It is unchanged.
  • b)
    It decreases by 1.
  • c)
    It increases by 4.
  • d)
    It decreases by 4.
  • e)
    It decreases by 2.
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Let n equal 3α + 2b - 7. What happens to the value of n if the v...
The correct answer is C. To solve this problem, replace the α and b in 3α + 2b - 7 with a + 2 and b - 1. The result is 3(α + 2) + 2(b - 1) - 7. Distribute to get 3α + 6 + 2b - 2 - 7 = 3a + 2b - 3. Comparing 3α + 2b - 7 and 3a + 2b - 3, it is apparent that the value of n increases by 4 if the value of a increases by 2 and the value of b decreases by 1.
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Let n equal 3α + 2b - 7. What happens to the value of n if the v...
Explanation:

- Given: n = 3α + 2b - 7
- When the value of a increases by 2 and the value of b decreases by 1:
- The new value of n will be:
n = 3(α + 2) + 2(b - 1) - 7
n = 3α + 6 + 2b - 2 - 7
n = 3α + 2b - 3
- Comparison:
- The original value of n: 3α + 2b - 7
- The new value of n after the changes: 3α + 2b - 3
- Difference:
- The difference between the original value of n and the new value of n is 4 (7 - 3).
- Conclusion:
- Therefore, the value of n increases by 4 when the value of a increases by 2 and the value of b decreases by 1.
So, the correct answer is option 'C' (It increases by 4).
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Let n equal 3α + 2b - 7. What happens to the value of n if the value of a increases by 2 and the value of b decreases by 1?a)It is unchanged.b)It decreases by 1.c)It increases by 4.d)It decreases by 4.e)It decreases by 2.Correct answer is option 'C'. Can you explain this answer?
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Let n equal 3α + 2b - 7. What happens to the value of n if the value of a increases by 2 and the value of b decreases by 1?a)It is unchanged.b)It decreases by 1.c)It increases by 4.d)It decreases by 4.e)It decreases by 2.Correct answer is option 'C'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about Let n equal 3α + 2b - 7. What happens to the value of n if the value of a increases by 2 and the value of b decreases by 1?a)It is unchanged.b)It decreases by 1.c)It increases by 4.d)It decreases by 4.e)It decreases by 2.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let n equal 3α + 2b - 7. What happens to the value of n if the value of a increases by 2 and the value of b decreases by 1?a)It is unchanged.b)It decreases by 1.c)It increases by 4.d)It decreases by 4.e)It decreases by 2.Correct answer is option 'C'. Can you explain this answer?.
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