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The cost in dollars, C, to manufacture n necklaces is given by the equation C(n) = an + b, where a and b are positive constants. In this equation, what does a represent?
- a)the fixed costs, in dollars, independent of any necklaces being manufactured
- b)the total cost, in dollars, to produce n necklaces, not including fixed costs
- c)the total cost, in dollars, to produce one necklace, including fixed costs
- d)the cost, in dollars, to produce one necklace, not including any fixed costs
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The cost in dollars, C, to manufacture n necklaces is given by the equ...
C(n) = an + b
Since this expression is linear in n (the input variable, which represents the number of necklaces produced), the constant a represents the slope of this line, which in turn represents the “unit rate of increase,” in other words, the increase in total cost for each individual necklace produced.
The constant b represents the “y-intercept” of this line, which in this case means the costs when n = 0 (that is, the fixed costs before any necklaces are produced).
Since this expression is linear in n (the input variable, which represents the number of necklaces produced), the constant a represents the slope of this line, which in turn represents the “unit rate of increase,” in other words, the increase in total cost for each individual necklace produced.
The constant b represents the “y-intercept” of this line, which in this case means the costs when n = 0 (that is, the fixed costs before any necklaces are produced).
Most Upvoted Answer
The cost in dollars, C, to manufacture n necklaces is given by the equ...
Explanation:
Cost Equation:
- The given equation C(n) = an + b represents the cost in dollars to manufacture n necklaces, where a and b are positive constants.
Interpretation of 'a':
- 'a' represents the cost, in dollars, to produce one necklace, not including any fixed costs.
- This means that 'a' is the variable cost per necklace, which increases as more necklaces are produced.
Fixed Costs:
- Fixed costs are constant costs that do not change with the number of necklaces produced.
- In the given equation, the term 'b' represents the fixed costs, in dollars, independent of any necklaces being manufactured.
Understanding the Cost Equation:
- When n = 0 (producing zero necklaces), the cost C(0) = 0a + b = b.
- This shows that the fixed costs 'b' are incurred even when no necklaces are produced.
- As the number of necklaces produced increases (n > 0), the total cost includes both the fixed costs and the variable costs per necklace.
Conclusion:
- Therefore, in the cost equation C(n) = an + b, 'a' represents the cost, in dollars, to produce one necklace, not including any fixed costs.
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The cost in dollars, C, to manufacture n necklaces is given by the equ...
C(n) = an + b
Since this expression is linear in n (the input variable, which represents the number of necklaces produced), the constant a represents the slope of this line, which in turn represents the “unit rate of increase,” in other words, the increase in total cost for each individual necklace produced.
The constant b represents the “y-intercept” of this line, which in this case means the costs when n = 0 (that is, the fixed costs before any necklaces are produced).
Since this expression is linear in n (the input variable, which represents the number of necklaces produced), the constant a represents the slope of this line, which in turn represents the “unit rate of increase,” in other words, the increase in total cost for each individual necklace produced.
The constant b represents the “y-intercept” of this line, which in this case means the costs when n = 0 (that is, the fixed costs before any necklaces are produced).
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The cost in dollars, C, to manufacture n necklaces is given by the equation C(n) = an + b, where a and b are positive constants. In this equation, what does a represent?a)the fixed costs, in dollars, independent of any necklaces being manufacturedb)the total cost, in dollars, to produce n necklaces, not including fixed costsc)the total cost, in dollars, to produce one necklace, including fixed costsd)the cost, in dollars, to produce one necklace, not including any fixed costsCorrect answer is option 'D'. Can you explain this answer?
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The cost in dollars, C, to manufacture n necklaces is given by the equation C(n) = an + b, where a and b are positive constants. In this equation, what does a represent?a)the fixed costs, in dollars, independent of any necklaces being manufacturedb)the total cost, in dollars, to produce n necklaces, not including fixed costsc)the total cost, in dollars, to produce one necklace, including fixed costsd)the cost, in dollars, to produce one necklace, not including any fixed costsCorrect answer is option 'D'. Can you explain this answer? for SAT 2025 is part of SAT preparation. The Question and answers have been prepared according to the SAT exam syllabus. Information about The cost in dollars, C, to manufacture n necklaces is given by the equation C(n) = an + b, where a and b are positive constants. In this equation, what does a represent?a)the fixed costs, in dollars, independent of any necklaces being manufacturedb)the total cost, in dollars, to produce n necklaces, not including fixed costsc)the total cost, in dollars, to produce one necklace, including fixed costsd)the cost, in dollars, to produce one necklace, not including any fixed costsCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for SAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The cost in dollars, C, to manufacture n necklaces is given by the equation C(n) = an + b, where a and b are positive constants. In this equation, what does a represent?a)the fixed costs, in dollars, independent of any necklaces being manufacturedb)the total cost, in dollars, to produce n necklaces, not including fixed costsc)the total cost, in dollars, to produce one necklace, including fixed costsd)the cost, in dollars, to produce one necklace, not including any fixed costsCorrect answer is option 'D'. Can you explain this answer?.
The cost in dollars, C, to manufacture n necklaces is given by the equation C(n) = an + b, where a and b are positive constants. In this equation, what does a represent?a)the fixed costs, in dollars, independent of any necklaces being manufacturedb)the total cost, in dollars, to produce n necklaces, not including fixed costsc)the total cost, in dollars, to produce one necklace, including fixed costsd)the cost, in dollars, to produce one necklace, not including any fixed costsCorrect answer is option 'D'. Can you explain this answer? for SAT 2025 is part of SAT preparation. The Question and answers have been prepared according to the SAT exam syllabus. Information about The cost in dollars, C, to manufacture n necklaces is given by the equation C(n) = an + b, where a and b are positive constants. In this equation, what does a represent?a)the fixed costs, in dollars, independent of any necklaces being manufacturedb)the total cost, in dollars, to produce n necklaces, not including fixed costsc)the total cost, in dollars, to produce one necklace, including fixed costsd)the cost, in dollars, to produce one necklace, not including any fixed costsCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for SAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The cost in dollars, C, to manufacture n necklaces is given by the equation C(n) = an + b, where a and b are positive constants. In this equation, what does a represent?a)the fixed costs, in dollars, independent of any necklaces being manufacturedb)the total cost, in dollars, to produce n necklaces, not including fixed costsc)the total cost, in dollars, to produce one necklace, including fixed costsd)the cost, in dollars, to produce one necklace, not including any fixed costsCorrect answer is option 'D'. Can you explain this answer?.
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The cost in dollars, C, to manufacture n necklaces is given by the equation C(n) = an + b, where a and b are positive constants. In this equation, what does a represent?a)the fixed costs, in dollars, independent of any necklaces being manufacturedb)the total cost, in dollars, to produce n necklaces, not including fixed costsc)the total cost, in dollars, to produce one necklace, including fixed costsd)the cost, in dollars, to produce one necklace, not including any fixed costsCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for The cost in dollars, C, to manufacture n necklaces is given by the equation C(n) = an + b, where a and b are positive constants. In this equation, what does a represent?a)the fixed costs, in dollars, independent of any necklaces being manufacturedb)the total cost, in dollars, to produce n necklaces, not including fixed costsc)the total cost, in dollars, to produce one necklace, including fixed costsd)the cost, in dollars, to produce one necklace, not including any fixed costsCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of The cost in dollars, C, to manufacture n necklaces is given by the equation C(n) = an + b, where a and b are positive constants. In this equation, what does a represent?a)the fixed costs, in dollars, independent of any necklaces being manufacturedb)the total cost, in dollars, to produce n necklaces, not including fixed costsc)the total cost, in dollars, to produce one necklace, including fixed costsd)the cost, in dollars, to produce one necklace, not including any fixed costsCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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