To find an equation that represents the situation, we can denote the cost of each juice bottle as \(j\). Kadeesha bought a bag of popcorn for $1.59 and a 5-pack of juice bottles. Since there are 5 bottles in the pack, the cost for the juice would be represented as \(5j\).
The total cost before tax, which is given as $13.34, can be represented with the equation:
\[ 1.59 + 5j = 13.34 \]
This equation indicates that the cost of the popcorn plus the total cost of the juice (5 times the cost of one bottle) equals the total cost before tax.
In summary, the equation representing the context is:
\[ 1.59 + 5j = 13.34 \]