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.

Answers

Answer 1

Answer:

For High School A, let [tex]S_A(t)[/tex] denote the number of students after [tex]t[/tex] years. Define [tex]S_B(t)[/tex] analogously.

Then [tex]S_A(t) = 850 + 35t[/tex] and [tex]S_B(t) = 700 + 60t[/tex].

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

Step-by-step explanation:

For High School A, let [tex]S_A(t)[/tex] denote the number of students after [tex]t[/tex] years. Define [tex]S_B(t)[/tex] 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 [tex]S_A(t) = 850 + 35t[/tex].

Since we start out at 700 students at High School B and it is growing by 60 students every year, we must have that [tex]S_B(t) = 700 + 60t[/tex].

Setting the two equations equal to each other, we see that [tex]850+35t=700+60t\\850-700=60t-35t\\25t=150\\t=6[/tex]

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

Related Questions

What is 4/6 x 6 as a mixed number?

Answers

Answer:

Step-by-step explanation:

4/6 x 6 can be thought of as 4/6 x 6/1.

When multiplying two fractions, multiply the numerator (top number) with the numerator and the denominator (bottom number) with the denominator.

So we have: (4x6) / (6x1)

Which can be simplified to: 24/6, or 4.

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Step-by-step explanation:

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Hugh the same time as the first time in the future and the other is a great way to get the best out of the way and

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Answers

Answer: 10%

Step-by-step explanation:

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Answers

Answer:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

Point the point on the graph (3,-7) by find 3 on the x axis (horizontal line) and than going down -7 coordinates. and then start plotting points that are at a slope of 1/3 so you would go up 1 from the point (3,-7) and than go 3 right and then plot a point, and keep doing that to make a lot of points that create a straight line at the end when you connect them!

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Answers

help me its 7 85 49 =482i23u23

2) How much sales tax does Jaylen have to pay if the sales tax rate
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Answers

Answer:

The New York (NY) state sales tax rate is currently 4%. Depending on local municipalities, the total tax rate can be as high as 8.875%. Other, local-level tax rates in the state of New York are quite complex compared against local-level tax rates in other states.

4.
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Answers

Answer:

12 packs of gum=$3.00

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Answers

Answer:

w = 12

Step-by-step explanation:

3w = 11 + 25

3w = 36

w = 12

Hope that helps!

if you’re solving for W, the answer would be 12.

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Answers

Answer:

£108

Step-by-step explanation:

the rule of the simple interest is:

I=PRT

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I=1800×0.02×3

I=£108

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Answers

Answer:

x = 1, y = 7

Step-by-step explanation:

If y = -3x - 4, then

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Answer:

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Step-by-step explanation:

Answer:

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Help ASAP Question:
The Department of Transportation's salt and sand mixing sheds are in the shape of a cone. One of the sheds measures 50 ft
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Answer:

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Step-by-step explanation:

After eating dinner at a restaurant your bill was $56. You plan to leave a 20% tip. What will your total cost be? (Hint: find the tip amount first).
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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

y= 2x +1 because

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Answers

Answer:

66.6667

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Step-by-step explanation:

2 out of what is 3%?

2 out of X is 3%

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Answers

Answer:

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Answers

Answer:

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Answers

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Answer:

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Answers

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