To determine the original cost of a box of cookies \( c \) given that John buys 8 packs of cookies at a discounted price, we can set up the equation based on the information provided.
Since each pack has a discount of 50 cents, the price he pays for each pack is \( c - 0.50 \). Therefore, the total cost for 8 packs can be expressed as:
\[ 8(c - 0.50) = 20 \]
This matches the option:
8(c−0.50)=20
So the correct equation to use is:
8(c - 0.50) = 20