In a recent survey 56% of students at MacNab High School work a part time job during the school year. If there are 378 students in the school, is 125 , 200 or 560 a reasonable estimate for number of students who work part time during the school year? Explain your answer.

a bit more than half of 380 is a little more than 190

To determine whether 125, 200, or 560 is a reasonable estimate for the number of students who work part-time during the school year, we can use the information given in the survey.

According to the survey, 56% of the students at MacNab High School work a part-time job during the school year. To find the actual number of students who work part-time, we need to calculate 56% of the total number of students.

To do this calculation, we can use the following formula:

Number of students who work part-time = (Percentage of students who work part-time / 100) * Total number of students

Given that the percentage of students who work part-time is 56% and the total number of students in the school is 378, we can substitute these values into the formula:

Number of students who work part-time = (56 / 100) * 378

Evaluating this expression, we can find the actual number of students who work part-time:

Number of students who work part-time = 0.56 * 378
Number of students who work part-time โ‰ˆ 211.68

Since we cannot have fractions of students, we need to round this number to the nearest whole number. Based on rounding, the estimated number of students who work part-time during the school year is around 212.

Now, let's analyze the given options:

1. 125: This option is significantly lower than the estimated number of 212 students. Therefore, 125 is not a reasonable estimate.

2. 200: This option is closer to the estimated number of 212 students, but still lower. It may be a conservative estimate, but it is not the best estimate.

3. 560: This option is far higher than the estimated number of 212 students. Therefore, 560 is not a reasonable estimate.

Based on this analysis, the most reasonable estimate for the number of students who work part-time during the school year is 200.