To estimate the number of seniors who plan to go to college, we can use proportions.
We know that out of the 40 randomly selected seniors, 29 of them plan to go to college.
If we assume that the proportion of seniors planning to go to college is the same among the entire senior class, we can set up a proportion:
29/40 = x/380
Solving for x, we can cross-multiply:
40x = 29 * 380
40x = 11,020
Dividing both sides by 40:
x = 11,020 / 40
x = 275.5
Since we cannot have half of a senior planning to go to college, we round down to the nearest whole number.
Therefore, we estimate that 275 seniors plan to go to college.
The correct answer is B. 275.