Question 1064521: a company discovers that there is a linear relationship between the number of parts produced (p) and the cost to make them (c). to produce 120 new parts, it will cost $575. to produce 350 new parts, it will cost $620. Give a linear equation c=mp+b that gives the cost, c, required to make p parts.
I found the slope to be (9/46), and I've worked into the equation y=(9/46×)-(12685/23) but I'm feeling stuck and questioning all of my work now.
Thank you for your help.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! a company discovers that there is a linear relationship between the number of parts produced (p) and the cost to make them (c). to produce 120 new parts, it will cost $575. to produce 350 new parts, it will cost $620.
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So, you have two points relating c and p:: (120,575) and (350,620)
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slope = 9/46
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Give a linear equation c=mp+b that gives the cost, c, required to make p parts.
I found the slope to be (9/46), and I've worked into the equation y=(9/46×)-(12685/23) but I'm feeling stuck and questioning all of my work now.
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Equation:
c = m*p + b
575 = (9/46)(120) + b
b = 575 - (9/46)120
b = 598.48
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Equation:: c(p) = (9/46)p + 598.48
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Cheers,
Stan H.
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