28. A professional football stadium has 36 sections labeled 101-136. Each section has 38 rows of standard stadium seating. Each row of each section on this level averages 22 seats. Estimate the number of seats available in the stadium by rounding each value to the nearest tens place.
Answer: C
Approximately 32,000 seats are available in the stadium.
To estimate the number of seats available in the stadium, we round the values: 36 sections, 38 rows per section, and 22 seats per row. This gives us an estimate of 36 sections x 40 rows x 20 seats, resulting in about 32,000 seats.
A) 30096
While 30,096 is a numerical approximation, it does not accurately reflect the rounded estimates based on the provided values. The calculations lead to a higher total when rounded appropriately and thus this option is incorrect.
B) 48000
The estimate of 48,000 is significantly higher than the correct calculation. Even when rounding values, the maximum possible outcome does not reach this figure, making this option incorrect.
C) 32000
This option correctly reflects the estimated total of seats when rounding each component: 36 sections to 40, 38 rows to 40, and 22 seats to 20. Therefore, this is the most accurate estimate of the stadium's seating capacity.
D) 18000
An estimate of 18,000 is too low based on the rounding and multiplication of the components given. Such a low figure does not account for the higher rounded values, leading to its inaccuracy.
Conclusion
The correct answer of approximately 32,000 seats accurately represents the calculations based on the rounded figures provided. All other options either underestimate or overestimate the potential seating capacity of the stadium, failing to align with the method of rounding each value to the nearest ten and multiplying them accordingly.