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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?

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 50 class=

Sagot :

Answer:

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

Graphing the two equations;

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.

[tex]A=900+50t[/tex]

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

[tex]B=500+100t[/tex]

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

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

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

Graphing the two equations;

View image AubreyL512070
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