<h3>
Answer:</h3>
Yes, the given relation is a function
<h3>
Step-by-step explanation:</h3>
Since it is obvious that the cost of nails varies according to the number of pounds of nails.
The cost cannot coincide with different number of pounds.
Say if a pounds cost x and b pounds cost y, then x cannot be equal to y untill a = b.
From this conclusion, we reach our decision that since each element of set input set will have a unique image in output set, the given relation is a function.
<em>Remember</em><em> that</em><em> </em><em>every</em><em> </em><em>function</em><em> </em><em>is </em><em>a </em><em>relation</em><em> </em><em>but </em><em>every</em><em> relation</em><em> </em><em>is </em><em>not </em><em>a </em><em>function</em><em>.</em>