Question

A small town has two local high schools. High School A currently has 600 studentsand is projected to grow by 100 students each year. High School B currently has 900students and is projected to grow by 50 students each year. Let A represent thenumber of students in High School A int years, and let B represent the number ofstudents in High School B after t years. Graph each function and determine howmany students would be in each high school in the year they are projected to have thesame number of students.

Answer 1

Let's first draft the table that will show the student's growth of each school.

High School A (100 Students/Year) High School B (50 Students/Year)

Number yrs. No. students Number yrs. No. students

1 700 1 950

2 800 2 1000

3 900 3 1050

4 1000 4 1100

5 1100 5 1150

6 1200 6 1200

7 1300 7 1250

From the tables generated, it appears that in year 6, the two high schools will have the same number of students.

Let's plot the graph,