Sandra's dog weighs 3 1\2 pounds. each week he gains 2\3 of a pound. if he continues to gain this much weight each week, how much will he weight in 8 weeks

D(w)=3 1/2 +2w/3  change the left fraction to improper fraction

rule a b/c=(ac+b)/c

d(w)=7/2+2w/3  make a common denominator of LCM in this case 6

d(w)=(21+4w)/6

d(8)=(21+4*8)/6

d(8)=(21+32)/6

d(8)=53/6

d(8)=(48+5)/6

d(8)=8 5/6

Dwould be the answer