To set up the problem as an algebraic equation, we need to determine the total number of cookies (let's call this \( c \)) that Amelia baked.
Amelia gives 5 cookies to each of her 8 friends, so the total number of cookies distributed is:
\[ 5 \times 8 = 40 \]
This means that the total number of cookies baked is equal to the total number of cookies given away:
\[ c = 5 \times 8 \]
Simplifying that gives:
\[ c = 40 \]
So the correct equation that represents this scenario is:
\[ c = 40 \]
None of the provided response options directly give this equation, but the set up can be inferred from the context provided.
We can conclude that the cookies can be expressed as \( c \) such that:
\[ c = 5 \times 8 \]
So, if we had to choose a response from the options given, we would find that none accurately represent the situation in a standard form. However, the equation \( c = 40 \) or \( 5 \cdot 8 = c \) (which is not provided but synonymous with the expression).
If choosing from the above responses strictly based on form isn't possible, the setup \( c = 5 \times 8 \) is what you would need conceptually. Additionally, please note that usually, to represent the scenario properly, you'd ensure that the cookies distributed equal the total cookies available, ensuring \( c = 40 \) or \( c - 40 = 0 \) could help clarify, but not explicitly listed in iterative problems.