Marianna Sidoryanskaya Macroeconomics (The Simple stuff)
Given the function (y = −4x) , complete the following schedule. ___________________________ X -------Y ___________________________ -4 ----- ? -2 ----- ? 0 ----- ? 2 ----- ? 4 ----- ?
(y = −4(-4)): 16 (y = −4(-2)): 8 (y = −4(0)): 0 (y = −4(2)): -8 (y = −4(4)): -16
If, on a linear curve, the change in the x values is +6 when the change in the corresponding y values is minus−2, then the slope of the curve is equal to.... (Y/X)
-(1/3)
Constant Relationship
...
Exponential Relationship
...
Non-linear Relationship
...
You are given the following functions, what is the slope of the equation? 1.) Y= 14-1.5X 2.) Y= 9-3X 3.) Y= 15-1.5X 4.) Y= 14-2X 5.) Y= 13-1.5X
1.) -1.5 2.) -3 3.) -1.5 4.) -2 5.) -1.5
Dependent Variable
A variable whose value changes according to changes in the value of one or more independent variable. (Example: Number of notebooks to buy, Number of credit hours, Your anticipated grade)
Independent Variables
A variable whose value is determined independently of, or outside, the equation under study. (Example: Price of a notebook, Work-Study hours assigned, Hours studying)
Inverse Relationship
An increase in one variable is associated with a decrease.
Direct Relationship
An increase in one variable is associated with an increase in the related variable.
The number of games the university basketball team won last year and the number of season tickets sold this year is a/an _____ relationship.
Direct
The number of hours you study for an exam and your exam score is a/an _____ relationship.
Direct
What kind of relationship is shown in the table? ______________________________________________ Units produced Total cost ------------------------------------ 1 2 5 6 9 10
Direct Relationship
(True or False): The slope is constant at all points on a nonlinear curve.
False
True or False: On a coordinate number system, the vertical number line is known as the x axis and the horizontal number line is known as the y axis.
False
The price of pizza and the quantity purchased is a/an _____ relationship.
Inverse
What kind of relationship is shown in the graph? (its going down right) 10 ⎜\ 8 ⎜ .\ 6 ⎜ .\ 4 ⎜ .\ 2 ⎜ .\ 0 ⎜_________\__________ 2 4 6 8 10
Inverse relationship
Positive or negative graph? (y = 7−7x)
Negative
Quadratic Relationship
Often a U shaped-curved
Positive or Negative graph? (y = x−2)
Positive
Positive or Negative graph? (y = −1 + 7x)
Positive
How to Find Slope
Slope: ((Y2-Y1)/(X2-X1))
Economics is the ______ that studies the choices that individuals, business, governments, and entire societies make as they cope with scarcity and the _____ that influence and reconcile our choices.
Social Science; Incentives
(True or False) :The slope is constant at all points on a straight line in a graph
True
True or False: The relationship between two variables is inverse when a decrease in one variable is associated with an increase in the other variable
True
Linear equation
Y=mx+b Y= Range m= Slope b= Y-intercept
When constructing a graph in economics, it is conventional to put quantities on the _____ and dollar values on the _____
horizontal axis (X-axis); vertical axis (Y-axis)
On a horizontal number line, the numbers _____ and on a vertical number line, the numbers _____
increase from left to right; increase as we move up the line
