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Question 1034685: The cost of making 10 chairs is $340. The cost of making 22 chairs is $520.
What is the cost per chair?
Write a linear equation that tells you the total cost,
C
C, of making
x
x chairs:
C
=
C=
Preview
If your total cost is $730, how many chairs did you make?
Found 2 solutions by fractalier, Alan3354:
Answer by fractalier(6550)   (Show Source):
You can put this solution on YOUR website! We can find the slope of this relationship by
 dollars per chair
So far we have
y = 15x + b
If we plug in x and y, we can find b...
340 = 15(10) + b
b = 190
so our equation is
y = 15x + 190
Now if y = $730,
730 = 15x + 190
540 = 15x
x = 36 chairs
Answer by Alan3354(69443)  (Show Source):
You can put this solution on YOUR website! The cost of making 10 chairs is $340. The cost of making 22 chairs is $520.
----
It's implied that there are some fixed costs.
(520 - 340)/(22-10) = 180/12 = $15 per chair
--> fixed costs of 340 - 10*15 = $190
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What is the cost per chair?
$15, as shown above.
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Write a linear equation that tells you the total cost,
C, of making x chairs:
C = $190 + $15x
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If your total cost is $730, how many chairs did you make?
$730 - $190 = $540
$540/$15 = 36 chairs
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