Relations and Functions
Graphs of Linear Functions
Parallel/Perpendicular Lines
Alternate Forms of Linear Functions
Applications of Linear Functions
100
For a relation to be a function, each input must have ______ _____ output.
only one
100
How do we know a graph is linear?
Single straight line
100
Parallel lines have _______ slope
the same
100
What is the format of slope intercept form? And what do the variables represent?
y=mx+b
m=slope
b=y-intercept
100
Write an equation that represents the below situation"
"In order to join a yoga club there is a $100 initial fee and a $5 fee for each class you attend."
y=5x+100
200
Fill in the blanks:
Domain=_______=x-values
Range=Outputs=_______
Inputs
Y-values
200
________ is the point where the line touches the x-axis.
________ is the point where the line touches the y-axis.
x-intercept, y-intercept
200
Perpendicular lines have _______ _________ slopes
opposite reciprocal
200
What is the slope and the y-intercept of the following linear function?
y=-1/2x-7
m=-1/2
(0,-7)
200
Create an equation to represent the situation and use it to answer the question.
You figured out that you could make $50 per pool to clean pools during the summer. You did, however, also charge a stand alone fee of $150. How much would you make cleaning 2 pools?
y=50x+150
$250
300
Which of the following IS a function?
Table C
300
Find the rate of change of the given line:
m=-2
300
What would be the slope of a line PARALLEL to the given line?
y=-4x-8
-4
300
Put the following information into slope intercept form:
slope=5
point=(-4,3)
y=5x+23
300
Write an equation for the situation below:
"At a school play, children’s tickets cost $3 each and adult tickets cost $7 each. The total amount of money earned from ticket sales equals $210. Write a linear model that relates the number of children’s tickets sold to the number of adult tickets sold."
3x+4y=210
400
How do we know if the graph of a relation is a function or not?
Passes the vertical line test = function
400
What is the slope of this line?
-1/2
400
What would be the slope of the line PERPENDICULAR to the given line?
y=-3/5x+6
5/3
400
Find the y-intercept given the following linear function in standard form:
3x+5y=15
(0,3)
400
When visiting Baltimore, MD, you need to rent a taxi to get from your hotel to the National Aquarium. The taxi company charges a flat fee of $3.00 for using the taxi and $0.75 per mile. Calculate the cost for using the taxi for 18 miles.
$16.50
500
How do we know if an equation represents a linear function?
variable has no visible exponent and is not a denominator
500
What is the equation of the line below?
y=x
500
Are the following lines parallel, perpendicular, or neither?
y=4/3x-8
y=5x+2
neither, slopes aren't identical nor are they opposite reciprocals
500
Turn this standard form equation into slope-intercept form.
2x+5y=20
y=-2/5x+4
500
Ben walks at a rate of 3 miles per hour. Ben walked for 24 miles. For many hours did he run?
8 hours.