Final answer:
The family needs 53 yards of fencing for their home. The family needs yards of fencing for their: c) Home (3 + 10x) yd
Step-by-step explanation:
The family needs yards of fencing for their: c) Home (3 + 10x) yd
To find the amount of fencing needed for the home, we substitute x = 5 into the expression 3 + 10x. 
So, Home = 3 + 10(5) 
= 3 + 50 
= 53 yards.