Understanding Linear Functions
Using Intercepts
Interpreting Rate of Change / Slope
Direct Variation
MISC.
100
Tell whether each function is linear or not.
y=3x^2
Not Linear
100
Find each x- and y-intercept.
x-int: 4; y-int: 2
100
Rise= Run= Slope= 
Rise= 4,Run=5; Slope=4/5
100
Identify the equations that are examples of direct variation and then identify the constant of variation.
y = 3x
Direct variation, k = 3
100
3/4 /1/2
1 1/2
200
Tell whether each function is linear or not.
7-y=5x+11
Linear
200
Find each x- and y-intercept.
x-int: −1; y-int: 4
200
rise= , run= ; slope= 
rise = −6, run = 3, slope = −2
200
x + y = 5
Not direct variation
200
What is this fraction in percentage?
201/900
22.33%
300
The solid and dashed lines show how two consultants charge for their services. Use the graph.
How much does each charge for a 6-hour job?
A charges $300 and B charges $400.
300
Find each x- and y-intercept.
3x + 2y = −6
x-int (-2,0) y-int (0,-3)
300
Find Slope
slope =
3/2
300
Identify the equations that are examples of direct variation and then
identify the constant of variation.
x/y =5
Direct variation
k=1/5
300
What is this fraction in percentage ?
6/14
42.857%
400
The solid and dashed lines show how two consultants charge for their services. Use the graph.
Does either consultant charge according to a linear function?
B charges according to a linear function.
A does not.
400
Find each x- and y-intercept.
x − 4y = 4
x-int: 4 ; y-int: -1
400
Find the slope.
slope=
-400/3
400
Decide if the variables have direct variation. If they do, write the
equation that shows their relationship and identify the constant of variation.
The number of minutes, t, spent waiting in line to ride the Dynamic
Roller Coaster is 7 times the number of people, n, waiting in line.
Direct variation, t = 7n, k = 7
400
What is this fraction in percentage?
67/95
70.526%
500
The solid and dashed lines show how two consultants charge for their services. Use the graph.
For which length of job do A and B charge the same amount?
8 hours
500
Find each x- and y-intercept.
3x + 1.5y = 3
x int: 1 ; y int 2
500
When ordering tickets online, a college theater charges a $5 handling
fee no matter how large the order. Tickets to a comedy concert cost
$58 each. If you had to graph the line showing the total cost, y, of
buying x tickets, what would the slope of your line be?
The slope would be 58
500
Decide if the variables have direct variation. If they do, write the equation that shows their relationship and identify the constant of variation.
The amount, e, Jill earns for babysitting is $15 per hour for h hours.
Direct variation, e = 15h, k = 15
500
What is Ms.Carter's favorite color?
Yellow!!!!!!!!!!!!!