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Please show steps!

 

A floor refinishing company charges $5.25 per square foot to strip and refinish a tile floor for up to 800 square feet. There is an additional charge of $480 for toxic waste disposal for any job that includes more than 200 square feet of tile.

a)  Express the cost, y, of refinishing a floor as function of the number of square feet, x, to be refinished.

b)  Sketch the function.

c)  What are the domain and range of the function.

Guest Feb 8, 2018
 #1
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There may be other ways of doing this....but....we can represent this as a piecewise function :

 

                 

                  5.25x                       if    0 ≤ x ≤ 200

y   = 

 

                 5.25x  +  480           if      200 < x 800

 

The domain is  [0, 800]

The range  is [ 0, 4680 ]

 

Here's the graph :https://www.desmos.com/calculator/wfww9jpzwu

 

 

cool cool cool

CPhill  Feb 8, 2018

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