**1)**Graph the following equation:Y = 120 + 0.9X. (Y on the vertical axis and X on the horizontal axis).

**a)**What are the values of the intercepts for the horizontal and vertical axis? Show these values on the graph.

**b)**What is the slope of this equation?Carefully interpret this number.Use an “if….” statement in your interpretation.

**2)**Graph the following equation : X = -133.33 + 1.11Y. (X on the vertical axis and Y on the horizontal axis).

**a)**What are the values of the intercepts for the horizontal and vertical axis? Show these values on the graph.

**b)**What is the slope of this equation?Carefully interpret this number.Use an “if….” statement in your interpretation.

**3)** Graph the following equation : Z = 180 – 30W.(Z on the vertical axis and W on the horizontal axis).

**a)**What are the values of the intercepts for the horizontal and vertical axis? Show these values on the graph.

**b)**What is the slope of this equation?Carefully interpret this number.Use an “if….” statement in your interpretation.

Suppose now that you have to draw a graph with **W on the vertical axis** and **Z**** on the horizontal axis**

**c.****Derive** the equation that reflects this graph.Draw the graph

**d.**What are the values of intercepts for the horizontal and vertical axis? Show these values on a new graph.

**e.**What is the slope of this equation?Carefully interpret this number.Use an “if….” statement in your interpretation.

**4.**Answer the question below using the following equation: Y = 60 – 5X + 15Z – 10S.

**a.**Assuming Y is on the vertical axis and X is on the horizontal axis, draw the relationship between these two variables using the following values for the other variables:Z=5 and S =6.

**b.**What are the values of the intercepts for the horizontal and vertical axis? Show these values on the graph.

**c.**What is the slope of this equation? Carefully interpret this number. Use an “if…”statement in your interpretation.

**d.**Suppose that the values of Z changes from 5 to 8, show on the graph from part a) the effect of this change.Carefully label the curves.

**e.**Is the slope of the new curve different from the slope of the original curve? Carefully explain your answer.

**f.**Is the new value of the intercept for the vertical axis different from that of the original curve? Carefully explain your answer.

**g.**Is the new value of the intercept for the horizontal axis different from that of the original curve? Carefully explain your answer.

**h.**Does the change in the value of the Z variable result in a movement along the curve or a shift?Why?

**i.**Derive the equation that shows the relationship between the Z and S variables using the following values for the other variables : Y = 10 and X = 4.(Z on the vertical axis and S on the horizontal axis).

**j.**What is the slope of this equation?Carefully interpret this number.Use an “if….” statement in your interpretation

**5.**Use the following equations to find the values of Y and X.

1.Y =X + W

2.X=30 + .8Y

3.W =250

**6.**Use the following assumptions and equations to find the value of r.

1.Z=W

2.W =.40Y -100r

3.Z =M/P

4.Y =3000

5.M = 100

6.P = .5

**7.**Use the following assumptions and equations to find the value for Y

1.Y =C+ G + 1

2.C =500 + .8Y

3.G =50

4.I =80 – 10r

5.r =4

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