Final answer:
The proportional number of districts North Carolina would expect to have, based on the ratio in Utah, is 113 when rounded to the nearest whole number. However, none of the answer choices match this calculation so there may be an error or misinterpretation in the provided options or rounding process.
Step-by-step explanation:
To solve this problem, we need to calculate the ratio of schools to districts in Utah and apply that same ratio to determine the proportional number of districts North Carolina would have if it followed the same ratio.
First, we determine the ratio for Utah:
- Number of schools in Utah: 889
- Number of districts in Utah: 41
- Ratio (schools to districts) in Utah: 889 / 41 = 21.7 (rounded to one decimal place)
Using this ratio, we can calculate the expected number of districts in North Carolina:
- Number of schools in North Carolina: 2,446
- Expected number of districts in North Carolina: 2,446 / 21.7 = 112.7
- Rounded to the nearest whole number: 113
Since 113 is not one of the options provided, it seems there may have been an error in calculating or rounding. The options given do not match the calculation based on the provided ratio. It's important to double-check the calculation and options provided, but if sticking strictly to the options given, none match the correct calculation. However, if we consider the possibility of rounding errors or imprecise ratios, option d) 60 is closest to the calculated value.