Question
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Lake Powell is a water storage facility on the Colorado River in Utah and Arizona. In one year, the elevation of the water in the lake decreased from 3,593 feet to 3,544 feet. Find the percent decrease in the water elevation level. Round to the nearest tenth of a percent. \( \% \% \)

Ask by Santiago Dickson. in the United States
Mar 10,2025

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Tutor-Verified Answer

Answer

The water elevation decreased by approximately 1.4%.

Solution

To find the percent decrease in the water elevation level, we can use the formula: \[ \text{Percent Decrease} = \left( \frac{\text{Original Value} - \text{Final Value}}{\text{Original Value}} \right) \times 100 \] Given: - Original Value = 3,593 feet - Final Value = 3,544 feet Substitute the values into the formula: \[ \text{Percent Decrease} = \left( \frac{3593 - 3544}{3593} \right) \times 100 \] Now, we can calculate the percent decrease. Calculate the value by following steps: - step0: Calculate: \(\frac{\left(3593-3544\right)}{3593}\times 100\) - step1: Remove the parentheses: \(\frac{3593-3544}{3593}\times 100\) - step2: Subtract the numbers: \(\frac{49}{3593}\times 100\) - step3: Multiply: \(\frac{49\times 100}{3593}\) - step4: Multiply: \(\frac{4900}{3593}\) The percent decrease in the water elevation level is approximately 1.36%.

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Beyond the Answer

To find the percent decrease in the water elevation level, you first subtract the final elevation from the initial elevation: 3,593 feet - 3,544 feet = 49 feet. Next, divide the decrease by the original elevation and multiply by 100 to get the percentage: \(\frac{49}{3,593} \times 100 \approx 1.36\%\). Rounding to the nearest tenth of a percent gives a percent decrease of approximately 1.4%.

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