Question

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

Answer 1

Therefore Y = 1200+35 (T-2000)

T is variable.

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.

Answer 2

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

where n = number of years after 2000.

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.