Independent or Dependent
The more time people spend using social media, the less they read books.
What is the INDEPENDENT variable?
Time spent on social media
Values that make sense for an independent variable are called what?
domain
If a graph has a positive slope, how do we describe its behavior from left to right?
rises from left to right
Is the following the equation of a linear function?
y=2x2+4x+1
No.
x should only have powers of 1 for linear functions
y=2x-5
What is the slope? And what is the y-intercept?
slope: 2
y intercept: (0, -5)
Drinking energy drinks makes people more aggressive.
What is the DEPENDENT variable?
Level of aggression
Range are values that correspond to which part of the ordered pair (x, y)
the y-coordinate
range values correspond to the values of the dependent variable.
If graph A has a greater rate of change than graph B, but both graphs have a positive slope, how do we compare the two lines?
Graph A is steeper
Given the graph by Mrs. Armbruster...
What is the rate of change. Be sure to include units
(See Mrs. A)
Make a sketch of the following equation:
y=-2x+6
See Mrs. A
Eating breakfast in the morning increases the ability to learn in school.
What is the INDEPENDENT variable?
Eating breakfast
Consider the ordered pairs:
{(0, 5) (2, 1) (5, -3) (-8, 2)}
What is the domain of the function?
domain: x-values
{0, 2, 5, -8}
usually written in numeric order {-8, 9, 2, 5}
What is the equation for slope given two points?
x2-x1
A car rental charges $0.50 per mile with initial fees of $40.
What is a linear model for the data?
y = 0.50 x + 40
A ticket box office charges $3 per transaction and $45 per ticket.
Give a linear equation for the information.
y=45x+3
A comprehension test was given to students after they had studied textbook material either in silence or with the television on.
What is the DEPENDENT variable?
Score on a comprehension test
A comprehension test was given to students after they had studied textbook material either in silence or with the television on.
What would a possible RANGE look like in this problem?
0-100% on the test
0<y<100
Given the equation
y=2x+1
What is the slope
2
A car rental charges $0.50 per mile with initial fees of $40.
How much would it cost to rent a car and drive it 30 miles?
$55
Sub in 30 for x
y=0.5(30)+40
y=15+40
y=55
A coffee shop clerk finds that for every dollar increase on a cup of coffee they sell 50 less cups.
If they sell 500 cups when the coffee is $2. what is an equation for this model?
y=-50x+600
Students watched a cartoon either alone or with others and then rated how funny they found the cartoon to be.
What is the INDEPENDENT variable?
Company during the cartoon (alone or in a group)
(Weight of a bag of candy, price of the bag of candy)
Give an appropriate domain, using units.
domain: 0 to 10 lbs
Given the points (3, 5) and (-1, 1), what is the slope between the two points?
1
5-1 4 =1
3--1 4
A car rental charges $0.50 per mile with initial fees of $40.
How many miles did you drive if it cost $100 to rent the car?
120 miles
Sub in 100 for Y.
100=0.5x+40
60=0.5x
120=x
My kids created a lemonade stand. When they sold 4 cups they had $3 in their jar. After they should 10 cups they had $4.50 in their jar.
Write a linear equation for the problem AND tell how much money they would make if they sold 50 cups.
y=0.25x+2
The slope between (4, 3) and (10, 4.5) is 0.25. then plug in (4,3) to find "b"
$14.50 is how much they'd have once they sell 50 cups of lemonade