Phyllis paid $408 for new wall-to-wall carpeting in her living room. the carpeting was $12 per square yard, plus a $120 installation charge. how many square yards did she buy?

a. 26 sq yd

b. 34 sq yd

c. 44 sq yd

d. 24 sq yd

.)26

y=12x+120

y=12(26)+120

y=312+120

y=432 (No)

B.)34

y=12x+120

y=12(34)+120

y=408+120

y=528 (No)

C.)44

y=12(44)+120

y=528+120

y=648 (No)

D.)24

y=12x+120

y=12(24)+120

y=288+120

y=408 (Yes)

The other way is setting it equal to...

12x+120=408

Isolate the variable...

12x+120=408
       -120   -120

12x=288

x=24
Thus (D) is you answer!

Hope this helps!