To find the cost of the fence around Mr. Rodriguez's garden, we need to evaluate the expression \( 7(l + 2w) \) using the given length \( l = 5 \) yards and width \( w = 2 \) yards.
First, we calculate \( l + 2w \):
\[ l + 2w = 5 + 2(2) = 5 + 4 = 9 \]
Now, we can substitute this value into the expression \( 7(l + 2w) \):
\[ 7(l + 2w) = 7(9) = 63 \]
Thus, the cost for the fence is \($63\).
The correct response is: $63.