Question

Teaneck high had an enrollment of 10950 in 1983 and an enrollment of 12940 in year 1999. What is the predicted enrollment of Teaneck high in 2015 if we assume a linear model?

Answer 1

Using a linear model, the enrollment at Teaneck High increased at a rate of 124.375 students per year from 1983 to 1999. Extending this rate to 2015, the predicted enrollment is 14,930 students.

Step-by-step explanation:

To predict the enrollment at Teaneck High in 2015 using a linear model, we first find the rate of change in enrollment between 1983 and 1999. The enrollment increased from 10,950 to 12,940 over 16 years.

The rate of change per year is calculated as:

Rate = (Enrollment in 1999 - Enrollment in 1983) / (Year 1999 - Year 1983)

Rate = (12940 - 10950) / (1999 - 1983)

Rate = 1990 / 16

Rate = 124.375 students per year

Next, we predict the enrollment for 2015:

Years from 1999 to 2015 = 2015 - 1999

Years from 1999 to 2015 = 16 years

Predicted enrollment in 2015 = Enrollment in 1999 + (Rate * Number of years from 1999 to 2015)

Predicted enrollment in 2015 = 12940 + (124.375 * 16)

Predicted enrollment in 2015 = 12940 + 1990

Predicted enrollment in 2015 = 14930 students

Therefore, the predicted enrollment for Teaneck High in 2015, assuming a linear model, is 14,930 students.