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Question 185361This question is from textbook
: There is a linear equation that expresses the cost C per week in dollars for making circuit boards in terms of the number n of circuit boards per week. If C=$1500 when n=1000, and C=$2000 when n=2000, find the linear equation that expresses C in terms of n. What is the cost if only one circuit board is produced in a week?
Equation that expresses C in terms of n: C= mn + b
This question is from textbook
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! There is a linear equation that expresses the cost C per week in dollars for making circuit boards in terms of the number n of circuit boards per week. If C=$1500 when n=1000, and C=$2000 when n=2000, find the linear equation that expresses C in terms of n. What is the cost if only one circuit board is produced in a week?
Equation that expresses C in terms of n: C= mn + b
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You have 2 points (1000,1500) and (2000,2000)
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slope = (2000-1500)/(2000-1000) = 1/2
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Form: C = mn + b
You know m=1/2, and you know C=2000 when n= 2000 ; solve for "b":
2000 = (1/2)2000 + b
2000 = 1000 + b
b = 1000
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Equation: C(n) = (1/2)n + 1000
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Cheers,
Stan H.
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