Question
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Find the unit rates. If necessary, round your answers to the nearest hundredth. 6 quarts for \( \$ 7.69 \) dollars per quart quarts per dollar.

Ask by Davey Barber. in the United States
Jan 30,2025

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Tutor-Verified Answer

Answer

- **Dollars per quart**: $1.28 - **Quarts per dollar**: 0.78

Solution

Round the number by following steps: - step0: Round \(7.69/6\) to \(2\) decimal places using standard rounding method: \(7.69/6\) - step1: Rewrite in decimal: \(1.281667\) - step2: Round \(1.281667\) to \(2\) decimal places using standard rounding method\(:\) \(1.28\) Round the number \( 6/7.69 \) to nearest hundredth. Round the number by following steps: - step0: Round \(6/7.69\) to \(2\) decimal places using standard rounding method: \(6/7.69\) - step1: Rewrite in decimal: \(0.780234\) - step2: Round \(0.780234\) to \(2\) decimal places using standard rounding method\(:\) \(0.78\) To find the unit rates: 1. **Dollars per quart**: - We divide the total cost by the number of quarts: \[ \text{Dollars per quart} = \frac{7.69}{6} \approx 1.28 \] So, the cost is approximately **$1.28 per quart**. 2. **Quarts per dollar**: - We divide the number of quarts by the total cost: \[ \text{Quarts per dollar} = \frac{6}{7.69} \approx 0.78 \] So, you get approximately **0.78 quarts per dollar**. In summary: - **Dollars per quart**: $1.28 - **Quarts per dollar**: 0.78

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To find the unit rate in dollars per quart, divide the total cost by the number of quarts: \( \$7.69 \div 6 \approx \$1.28 \) per quart. Now, if you're looking for quarts per dollar, take the reciprocal of that value: \( 1 \div 1.28 \approx 0.78 \) quarts per dollar. So, you get approximately \$1.28 per quart and about 0.78 quarts for each dollar spent! When dealing with unit rates, it’s easy to make simple mistakes in calculations. A common error is forgetting to divide the figures in the correct order. Always double-check your math! Also, rounding too early can lead to inaccuracies, so try to keep as many decimals as you can until you finalize your answer.

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