Question

A small town has two local high schools. High School A currently has 900 studentsand is projected to grow by 50 students each year. High School B currently has 500students and is projected to grow by 100 students each year. Let A represent thenumber of students in High School A in t years, and let B represent the number ofstudents in High School B after t years. Graph each function and determine whichhigh school is projected to have more students in 4 years.so i accidentally disconnected from my tutor and i am not sure if this graph is right or wrong. can you help me?

Answer 1

High school A will have 200 more students than High school B.

Graphing the two equations;

Step-by-step explanation:

Given that High School A currently has 900 students and is projected to grow by 50 students each year.

If t represent number of years, A represent the number of students in High School A in t years, and B represent the number of students in High School B after t years.

`A=900+50t`

High School B currently has 500 students and is projected to grow by 100 students each year.

`B=500+100t`

The number of student each high school is projected to have in 4 years is;

`\begin{gathered} A=900+50(4)=900+200 \\ A=1100 \\ \\ B=500+100(4)=500+400 \\ B=900 \end{gathered}`

Therefore, high school A will have 200 more students than High school B.

Graphing the two equations;