A private school opened in 2005 with an initial enrollment of 85 students. The enrollment has increased by an average of 18 students each year since the school opened. A nearby public school had an enrollment of 95 in 2005, and its enrollment has increased by an average of 15 students per year. Interpret the point of intersection in the context of the problem.

Answers

Answer 1

Answer: 1. Let t = time in years, with t = 0 representing the year 2005. Let f(t) = the number of students enrolled at the private school and g(t) = the number of students enrolled at the public school. Create the two functions to represent the situation.

f(t) = 85 + 18t ⇒ y = 85 + 18x
g(t) = 95 + 15t ⇒ y = 95 + 15x

y = y
85 + 18x = 95 + 15x
18x - 15x = 95 - 85
3x = 10
x = 10/3
x = 3 1/3

y = 85 +18(10/3) = 85 + 180/3 = 85 + 60 = 145
y = 95 + 15(10/3) = 95 + 150/3 = 95 + 50 = 145

x = 10/3 or 3 1/3
y = 145

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3/4 + 1/3/1/6 + 3/4

Answers

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= (3/4 + 1/3)/(1/6 + 3/4)
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Write a function, f(x) , to represent how much money Alex collected from selling tickets

Answers

example

normally the ammmount you earn is calculated by (how many you sold) times (how much 1 costs)

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Slope for (0,0) and (3,30)

Answers

Slope is the change in y over the change in x:

Slope = (30-0)/(3-0)

Slope = 30/3

Slope = 10

Answer:

The formula for slope is (y2-y1)/(x2-x1)

Hence, the answer will be:

(30-0)/(3-0)

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Graph slope -1 and y intercept (0,10)

Answers

Graphing linear equations

Put a point at the y-intercept (0, 10).
Then use the slope to find other points.
The slope -1 is actually -1/1 (the /1 is left out)
The rise is -1, and the run is 1.
So for every change of 1 in x, make a change of -1 in y.
Go to the right 1 and down 1, plot a point. Do this again and again.
You can also do it in the opposite direction.
Use as straightedge to connect your points.

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Answers

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Answers

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