A floor refinishing company charges $1.83 per square foot to strip and refinish

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 which includes more than 150 square feet of tile.

A) Express the cost, y, of refinishing a floor as a function of the number of square feet, x, to be refinished.
b) Graph the function, give the domain and range.

Explanation / Answer

y= { 1.83x for x= 150 >= 1000 $1.83 per square foot times the number of square feet refinished. Once we hit 150 sq. ft. there is an additional charge of $350 so we add that in. Domain are the possible x values. This company refinishes tile up to 1000 square feet so that is the maximum x. You can't do negative refinishing so the least amount of refinishing you can do is 0. So our domain is [0,1000] Range are the possible y values that you can get out. 1.83 (0) = 0 so that is the lowest cost. 1.83 (150) = 274.5 so for the first part of our function we have [0,150) (the 150 has parenthesis since 150 isn't in our possible x's for the first equation) For our second equation we have 1.83(150) + 350 = 624.50, then 1.83(1000) + 350 = 2180. So for our second equation the range is [624.50, 2180]. The total range is [0,150), [624.5, 2180]. As for the graph, graph the first equation up to x=150 and at x=150 put an open circle. From x=150 to x=1000 graph the second equation with closed circles at each end.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.