1. The following table shows the height of a tree as it ages. In Excel, plot each point on the same graph where the first coordinate is the age of the tree and the second coordinate is the height of the tree (age, height). After plotting each point, explain if there is a linear relationship between the age and height of the tree.

3. Answer the following questions pertaining to the following graph.

A. Give a brief explanation describing the graph in terms of its x-axis and y-axis.

B. At what age was the number of hours of television watched the most?

C. Find the slope of the line. Show all work to receive full credit.

D. Write a sentence that explains the meaning of the slope.

E. Find the equation of the line that represents the number of hours of television watched. Show all work to receive full credit.

4. The equation represents the total cost to run Johnny's Pizza place for a day. C symbolizes the total cost to open the pizza place, and x stands for the number of pizzas sold.

A. Find the y-intercept of this graph and explain what it means in the context of the problem. Show all work to receive full credit.

B. Explain the slope of the line.

C. Graph the equation.

5. The director of a summer day camp estimates that 100 children will join if the camp fee is $250, but for each $20 decrease in the fee, ten more children will enroll.

A. Determine the linear equation that will represent the number of children who will enroll at a given fee. Hint: To write the slope, you need two points on the line. Show all work to receive full credit.

B. Graph the linear equation that represents the number of children who will enroll at a given fee.

C. Approximately how many students will enroll if the camp fee is $180? Round to the nearest child.

D. Approximately how many students will enroll if the camp is free? Round to the nearest child.

Please see the attached files for the fully formatted problems.
1. Given the equation below, find f(x) where y = f(x).
8y(6x - 7) - 12x(4y + 3) + 265 - 5(3x - y + 2) = 0.
2. Solve these linearequations for x, y, and z.
3x + 5y - 2z = 20; 4x - 10y -z = -25; x + y -z = 5
3. The value of y in Question 2 lies in the ran

1. Plot the graph of the equations 3x-8y=5 and 4x-2y=11 and interpret the result.
2. Plot the graph of the equations 4x-6y=2 and 2x-3y=1 and interpret the result.
3. Plot the graph of the equations 10x-4y=3 and 5x-2y=6 and interpret the result.
Show all graphs.

Background:
You are the financial manager of a furniture company. It is your job to create supply and demandgraphs that show the break-even point for the company. The functions that describe how the company can break even will be represented with linearequations. Linear inequalities will be used to graph conditions where the

Please assist to understand the difference in these different methods. Please show work so I can follow the solution.
Determine if the given ordered pair is a solution to the system:
12. 2x + y = 5 (4, -3)
x - y = 1
22. 4x - y = -2 (-1, -2)
3x + y = -5
Solve each system of equations by the graphing method:

Question 1 - Draw the graphs of 2x-y-1 = 0 and 2x + y = 9; Write down the co-ordinates of the point of intersection of the two lines.
Question 2 - Solve graphically x + y + 2 = 0 and 3x - 4y = 5. Write down the co-ordinates of the point of intersection of the two lines.
Question 3 - Solve graphically x = 4 and 3x - 2y = 10. W

Algebra equations, word problems, andgraphs (see attachment)
1. solve the following system of equations:
x + 3y = 2
x = 6 - 3y
2. Determine the slope of the line shown in the right
3. Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 60 miles per hour and train B is traveli

3. Graph by plotting points.
y+x= -4
4. Graph by plotting points.
3x= -y+3
Complete the ordered pairs. (-1,_), (1,_)
6. Find the intercepts for the graph of the equation given.
x+4y=0
the x-intercept is?
the y-intercept is?
7. Find the intercepts and then use them to graph the equation.

Consider the linear system x' = Ax, where A is a n x n real matrix. If x = x(t) is a solution of the linear system, we define:
G(x) = {x(t) : t E R),
which is the set of points on the solution curves x=x(t) in R^n. The set G(t) is called the graph of x = x(t) .
Show that if x(1) = x(1)(t) and x(2) = x(2)(t) are any two