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Chau purchased 33.2 centimeters of wire for $16.60.Find the unit price in dollars per centimeter.If necessary, round your answer to the nearest cent.$

Question

Question

Chau purchased 33.2 centimeters of wire for $16.60. Find the unit price in dollars per centimeter. If necessary, round your answer to the nearest cent.

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Solution

1. Break Down the Problem

To find the unit price of the wire in dollars per centimeter, we need to divide the total cost by the total length of the wire.

2. Relevant Concepts

The unit price can be calculated using the formula: Unit Price=Total CostTotal Length \text{Unit Price} = \frac{\text{Total Cost}}{\text{Total Length}}

Where:

  • Total Cost = $16.60
  • Total Length = 33.2 cm

3. Analysis and Detail

Now, let's substitute the values into the formula:

Unit Price=16.6033.2 \text{Unit Price} = \frac{16.60}{33.2}

4. Verify and Summarize

Calculating the division:

Unit Price0.500 dollars/cm \text{Unit Price} \approx 0.500 \text{ dollars/cm}

Rounding to the nearest cent:

Unit Price=0.50 dollars/cm \text{Unit Price} = 0.50 \text{ dollars/cm}

Final Answer

The unit price of the wire is $0.50 per centimeter.

This problem has been solved

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