Question

the home cleaning company charges $312 to power-wash the siding of the house plus $12 for each window. power clean charges $36 per window, and the price includes power -washing the siding. how many windows must a house have to make the total cost from the home cleaning company more expensive than power clean? let w be the number of windows. (creating and solving

Answer 1

$312 to power-wash + $12 /w

power clean $36/w

Ok

312 + 12w > 36w

312 > 36w - 12w

312 > 24w

312/24 > W

13 > w

13 windows, let's check

312 + 12w > 36w

312 + 12(13) > 36(13)

312 + 156 > 468

468 > 468 with 13 windows the cost is the same

then, use 14 windows

312 + 12(14) > 36(14)

312 + 168 > 504

480

The answer is 12 windows

312 + 12(12) > 36(12)

312 + 144 > 432

456 > 432 12 windows