To find the price per pint, we first need to convert quarts to pints. There are 2 pints in 1 quart, so a 2-quart bottle is equal to:
\[ 2 \text{ quarts} \times 2 \text{ pints/quart} = 4 \text{ pints} \]
Now we take the total cost of the bottle, which is $1.76, and divide it by the number of pints:
\[ \text{Price per pint} = \frac{\text{Total cost}}{\text{Number of pints}} = \frac{1.76}{4} \]
Calculating this gives:
\[ \text{Price per pint} = 0.44 \]
Thus, the price per pint of bleach is $0.44.