SOLUTION: This is my last homework problem for the day: New carpeting can be purchased and installed for $22.00 per square yard, plus a $50 delivery fee. (a) Write an equation that gives

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Question 215439: This is my last homework problem for the day:
New carpeting can be purchased and installed for $22.00 per square yard, plus a $50 delivery fee. (a) Write an equation that gives the cost, c, to carpet “s” square yards. (b) Find the inverse of the cost function. © How many square yards can be carpeted for $1810?
Is it C(x)=xs+50 and the inverse is c^-1(x)=x-50/s
80 square yards can be carpeted for $1810
Did I get it right?


Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
I'm not sure where the x is coming from?
The equation for the cost (C) of carpeting s square yards at $22.00 per square yard plus %50.00 for delivery would be:

To find the inverse of this function, exchange the dependent variable (C) with the independent variable (s) and solve for C.
Exchange C and s.
Solve this for C. Subtract 50 from both sides.
Divide both sides by 22 to get the inverse function

To check to see if you have correct inverse, find the composite of and , why? Because if is the inverse of :


=

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