A small town has two local high schools. High School A currently has 850 students and is projected to grow by 35 students each year. High School B currently has 700
students and is projected to grow by 60 students each year. Let A represent the
number of students in High School A int years, and let B represent the number of
students in High School B after t years. Write an equation for each situation, in terms
of t, and determine after how many years, t, the number of students in both high
schools would be the same.

For High School A, let denote the number of students after years. Define analogously.

Then and .

After 6 years the number of students in both high schools would be the same.

Step-by-step explanation:

For High School A, let denote the number of students after years. Define analogously.

Since we start out at 850 students at High School A and it is growing by 35 students every year, we must have that .

Since we start out at 700 students at High School B and it is growing by 60 students every year, we must have that .

Setting the two equations equal to each other, we see that

So after 6 years the number of students in both high schools would be the same.

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