The enrollment of a school was 1200. Since then, it has increased at a rate of 35 students per year. Write an equation to represent the enrollment of the school each year after 2000. Identify your variables

The general equation to represent the enrollment of the school each year after 2000 = 1200 + 35 n

where n = number of years after 2000.

Step-by-step explanation:

Here, according to the question:

The initial number of students enrolled in the school = 1200 students

The number of students increased each year = 35 students

Now if the initial year is 2000, then the number of student in the first year

= Initial enrollment + (n x Number of students increasing each year)

where n : The total number of years after 2000

So, the number of students in first year after 2000 for n = 1 is

1200 + (1 x 35) = 1235

The number of students in second year after 2000 for n = 2 is

1200 + (2 x 35) = 1270

The number of students in third year after 2000 for n = 3 is

1200 + (3 x 35) = 1305

Hence, the general equation to represent the enrollment of the school each year after 2000 = 1200 + 35 n where n = number of years after 2000.

Therefore Y = 1200+35 (T-2000)

T is variable.

Step-by-step explanation:

Variable : A variable represent many numbers.

Given that the enrollment of a school was 1200.

The increase rate per year is 35.

T = the year after 2000.

Since the increase rate per year is 35.

Therefore the number student increase = 35 (T-2000)

Let Y represent total number of student on T year.

Therefore Y = 1200+35 (T-2000)

Where T is a year after 2000.

Here T is variable.