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The cost for 2.8 pounds of shrimp is $19.46.Find the unit price in dollars per pound.If necessary, round your answer to the nearest cent.

Question

The cost for 2.8 pounds of shrimp is $19.46. Find the unit price in dollars per pound. If necessary, round your answer to the nearest cent.

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Solution

1. ### Break Down the Problem

To find the unit price in dollars per pound of shrimp, we need to divide the total cost by the total weight in pounds.

2. ### Relevant Concepts

The unit price can be calculated using the formula:

Unit Price=Total CostTotal Weight \text{Unit Price} = \frac{\text{Total Cost}}{\text{Total Weight}}

3. ### Analysis and Detail

Given:

  • Total Cost = $19.46
  • Total Weight = 2.8 pounds

Applying the formula:

Unit Price=19.46 dollars2.8 pounds \text{Unit Price} = \frac{19.46 \text{ dollars}}{2.8 \text{ pounds}}

Now we perform the calculation:

Unit Price=19.46÷2.86.94857143 \text{Unit Price} = 19.46 \div 2.8 \approx 6.94857143

4. ### Verify and Summarize

Rounding to the nearest cent, the unit price is approximately $6.95 per pound.

Final Answer

The unit price of shrimp is $6.95 per pound.

This problem has been solved

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