Question 48821This question is from textbook Beginning Algebra
: In planning for a new item,a manufacturer assumes that the number of items produced x and the cost in dollars C of producing these items are related by a linear equation. Projections are that 100 items will cost$10,000 to produce and that 300 items will cost $22,000 to produce.
Find the equation that relates C and x
This question is from textbook Beginning Algebra
Answer by venugopalramana(3286)   (Show Source):
You can put this solution on YOUR website! In planning for a new item,a manufacturer assumes that the number of items produced x and the cost in dollars C of producing these items are related by a linear equation. Projections are that 100 items will cost$10,000 to produce and that 300 items will cost $22,000 to produce.
Find the equation that relates C and x
LET C=AX+B..WHICH IS THE GENERAL FORM OF A LINEAR EQN...........
WE HAVE WHEN X=100....C=10000..AND WHEN X=300....C=22000....SO
10000=100A+B...........I
22000=300A+B..........II
EQN.II-EQN.I
12000=200A
A=60
10000=60*100+B
B=4000
HENCE
C=60X+4000
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