A floor refinishing company charges 177 per square foot to s

A floor refinishing company charges $1.77 per square foot to strip and refinish a tile floor for up to 1000 square feet. There is an additional charge of $300 for toxic waste disposal for any job which includes more than 150 square feet of tile.

(Click on a graph to enlarge it)

A		B		C
D		E

Solution

Let the floor to replenish be x

per square feet = $ 1.77

So, a) x< = 150

C(x) = 1.77x

b) x>150

C(x) = 1.77x + 300

Its a piece wise function f with

x< = 150

C(x) = 1.77x and

x>150

C(x) = 1.77x + 300

Option D because at x= 150 C(x) = 1.77x is applicale

d) Domain : graph is for x>0 : (0, inf )

e)

at x= 150 ; C(x) = 1.77x -----f(x) = $ 265.5   

C(x) = 1.77x + 300 = $ 565.5

Range:( 0, 265.5] U (565.5 , infinity)