To determine which type of fish Sasha purchased, we can calculate how much he paid per pound for each type of fish and see if it matches the total cost.
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Salmon: $9.60 per pound \[ \text{Cost for } \frac{3}{4} \text{ lb} = 9.60 \times \frac{3}{4} = 7.20 \]
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Whitefish: $7.20 per pound \[ \text{Cost for } \frac{3}{4} \text{ lb} = 7.20 \times \frac{3}{4} = 5.40 \]
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Swordfish: $8.40 per pound \[ \text{Cost for } \frac{3}{4} \text{ lb} = 8.40 \times \frac{3}{4} = 6.30 \]
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Haddock: $6.90 per pound \[ \text{Cost for } \frac{3}{4} \text{ lb} = 6.90 \times \frac{3}{4} = 5.175 \]
Sasha paid $5.40 for his fish. The calculation shows that this amount matches the cost for whitefish.
Therefore, the fish Sasha chose is whitefish.