Quiz 2.3:


Question:

A floor-refinishing company charges $1.83 per square foot to strip and refinish a tile floor for up to 1000 square feet. There is an additional charge of $350 for toxic waste disposal for any job that includes more than 150 square feet of tile.
a)Express the cost, \(c\), of refinishing a tile floor as a function of \(s\) the number of square feet to be refinished.
b)Give the domain and range of this function.


Solution:

a) \( c(s)= \left\{\begin{matrix} 1.83s & ,0 < s \leq 150\\ 1.83s+350 & ,150 < s \leq 1000 \end{matrix}\right. \)

b) \( \begin{matrix} \mbox{Domain}&=& \{ s | 0 < s \leq 1000 \} \\ \mbox{Range} &=& \{ c(s) | 0 < c(s) \leq 274.5 , 624.5 < c(s) \leq 2180) \} \end{matrix} \)
JCCC
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