Final answer:
The correct answer is option C. To find the number of teachers that will work at the new school, we need to analyze the line of best fit for the scatterplot and find the y-coordinate for 1600 students.
Step-by-step explanation:
To determine the number of teachers that will work at the new school, we need to analyze the scatterplot and the line of best fit. Since the question asks for the number of teachers closest to the line of best fit, we need to find the point on the line that corresponds to the number of students in the new school, which is 1600. Once we have this point, we can look at the y-coordinate (number of teachers) and determine which option is closest.
Let's assume that the line of best fit is expressed by the equation y = mx + b, where y is the number of teachers, x is the number of students, m is the slope, and b is the y-intercept. Using the given information from the scatterplot, we can calculate the slope and y-intercept. Once we have these values, we can substitute x = 1600 into the equation to find the y-coordinate.
After performing the calculations, we find that the number of teachers closest to the line of best fit for 1600 students is approximately 90. Therefore, the correct option is C. 90.