# SOLUTION: This is my problem and I believe I have the answer (C(x))=3x+27,000 but I don't know the proper process for illustrating this. Please help! # If the relationship between the to

Algebra ->  Algebra  -> Functions -> SOLUTION: This is my problem and I believe I have the answer (C(x))=3x+27,000 but I don't know the proper process for illustrating this. Please help! # If the relationship between the to      Log On

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 Click here to see ALL problems on Functions Question 165387: This is my problem and I believe I have the answer (C(x))=3x+27,000 but I don't know the proper process for illustrating this. Please help! # If the relationship between the total cost and the number of units produced is linear and if the total cost increases by $3 for each additional unit made: 1. Find the equation of the total cost function C(x) using the fact that C(1,000) = 30,000 (dollars) where x is the number of units produced. Answer by jim_thompson5910(28595) (Show Source): You can put this solution on YOUR website!Since the "total cost increases by$3 for each additional unit made", this means that the slope is . Also, because C(1,000) = 30,000 , this means that we have the point (1000,30000). So let's find the equation of the line that has a slope of 3 and goes through the point (1000,30000) If you want to find the equation of line with a given a slope of which goes through the point (1000,30000), you can simply use the point-slope formula to find the equation: ---Point-Slope Formula--- where is the slope, and is the given point So lets use the Point-Slope Formula to find the equation of the line Plug in , , and (these values are given) Distribute Multiply and to get Add 30000 to both sides to isolate y Combine like terms and to get ------------------------------------------------------------------------------------------------------------ Answer: So the equation of the line with a slope of which goes through the point (1000,30000) is: which is now in form where the slope is and the y-intercept is So in function notation, the cost function is . So you are correct.