| Rate of Change and Initial Value | Increasing and Decreasing Intervals | Linear and Nonlinear Functions | Defining a Linear Function Rule | Random Math |
| 100 | 100 | 100 | 100 | 100 |
| 200 | 200 | 200 | 200 | 200 |
| 300 | 300 | 300 | 300 | 300 |
| 400 | 400 | 400 | 400 | 400 |
| 500 | 500 | 500 | 500 | 500 |
| Final Question | ||||
Find the rate of change
y=2x+5
Find the rate of change
y=2x+5
2
What is the initial value and the rate of change in the equation
y=1/2x+3
What is the initial value and the rate of change in the equation
y=1/2x+3
Rate of change is 1/2
Initial value is 3
What is the rate of change and the initial value for the equation below?
y-3=4x
What is the rate of change and the initial value for the equation below?
y-3=4x
The rate of change is 4
The initial value is 3
What is the inital value and the rate of change for the equation
y=4x
What is the inital value and the rate of change for the equation
y=4x
The initial value is 0
The rate of change is 4
What is the inital value and rate of change for the equation?
3y=x+9
What is the inital value and rate of change for the equation?
3y=x+9
The inital value is 3
The rate of change is 1/3
How many times does this graph increase?
How many times does this graph increase?
2
How many times does this graph decrease?
How many times does this graph decrease?
2
How many decreasing intervals are there in the blue line?
How many decreasing intervals are there in the blue line?
9
How many increasing intervals are ther in this graph?
How many increasing intervals are ther in this graph?
7
True or False? This graph has both increasing and decreasing intervals.
True or False? This graph has both increasing and decreasing intervals.
True
What kind of function is this
y=x4
What kind of function is this
y=x4
Nonlinear
Is this a linear or nonlinear function?
y=4x+7
Is this a linear or nonlinear function?
y=4x+7
It is linear
Is this linear or nonlinear?
Is this linear or nonlinear?
Nonlinear
Why is one line linear and one line nonlinear?
Why is one line linear and one line nonlinear?
One line is linear because is is a straight line. The other line is nonlinear because it is not a straight line.
Is the equation linear or nonlinear?
4y=x+20
Is the equation linear or nonlinear?
4y=x+20
The equation is linear
Give a real world situation that matches this function. y=2x+10
Give a real world situation that matches this function. y=2x+10
Example: Your mom lets you gives 10 dollaors and your allowance $2 dollars a day.
A box office is selling concert tickets for $6 each.
What is the function rule? p for the price and t for the ticket.
A box office is selling concert tickets for $6 each.
What is the function rule? p for the price and t for the ticket.
p=6t
Your neighbor is making cupcakes and she sarted with 15 dollars for change and gets 1 dollar every minute.
What is the function rule?
Your neighbor is making cupcakes and she sarted with 15 dollars for change and gets 1 dollar every minute.
What is the function rule?
y=x+15
A gardener used a hose to refill the tank when it reaches 6 gallons. The hose filled the tank at a rate of 7 gallons per minute.
What is the linear function rule?
A gardener used a hose to refill the tank when it reaches 6 gallons. The hose filled the tank at a rate of 7 gallons per minute.
What is the linear function rule?
y=7x+6
A model train passes its model depot at time=0. After 3 minutes, the train has traveled a distance of 132 ft along the track.
What is the linear function rule?
A model train passes its model depot at time=0. After 3 minutes, the train has traveled a distance of 132 ft along the track.
What is the linear function rule?
t=44x
Anwser the multiplication problem
(8x7)2 /2
Anwser the multiplication problem
(8x7)2 /2
1,568
Is the answer of 12 x -7 a positive or negative number ?
Is the answer of 12 x -7 a positive or negative number ?
its negative
Figure out the tip of a dinner bill of $205.50, which has a tip of 20%
Figure out the tip of a dinner bill of $205.50, which has a tip of 20%
$246.60
Whats the answer?
102x+4x+209x+-4x+-10x
Whats the answer?
102x+4x+209x+-4x+-10x
301x
What is an initial value?
What is an initial value?
An initial value is the place in which the line cross the x-axis
How can you tell if the graph is a function?
How can you tell if the graph is a function?
You can tell by using the horizontal line test.
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