Estimate an answer by rounding each number to one nonzero digit first, then perform the actual calculation. A jet fuel tank containing \( 21,019.5 \) gallons is being emptied at a rate of 121.5 gallons per minule. How many minutes will it take to empty the tank? Estimated value: \( \square \) minutes Actual value: \( \square \) minutes

To estimate the time it will take to empty the tank, we first round each number to one nonzero digit. 1. **Rounding the numbers:** - \( 21,019.5 \) gallons rounds to \( 20,000 \) (which can be represented as \( 2 \times 10^4 \)). - \( 121.5 \) gallons per minute rounds to \( 100 \) (which can be represented as \( 1 \times 10^2 \)). 2. **Estimating the time:** We can use the formula: \[ \text{Time} = \frac{\text{Total gallons}}{\text{Gallons per minute}} \] Using the rounded values: \[ \text{Estimated Time} = \frac{20,000}{100} = 200 \text{ minutes} \] Now, let's calculate the actual value using the original numbers. 3. **Actual calculation:** \[ \text{Actual Time} = \frac{21,019.5}{121.5} \] Performing the division: \[ \text{Actual Time} \approx 173.5 \text{ minutes} \] So, the final answers are: - Estimated value: \( 200 \) minutes - Actual value: \( 173.5 \) minutes