9.1 and 9.2
What is a function
A relationship in which each domain is paired with exactly one element.
What is a rate of change
A rate that describes how one quantity changes in relation to another quantity
A collection of two or more equations with the same set of variables.
A system of equations
Solve the systems of equations algebraically. Write in coordinates.
y= 7 - x
x= 3
(3,4)
Is this a function. If it is, then explain why.
(34,27), (23,52), (72,34), (9,80)
Yes because all domains are different.
In the equation y=mx, what is m called
The constant of variation
State the slope and y-intercept of each equation
1a. y= 3x + 1
1b. y = -2x
1a. slope- 3 y-intercept- 1
1b. slope- -2 y-intercept- 0
Solve each system of equations algebraically. Write the answer as coordinates.
2x - 3y= -10
1= 4x + y
(-0.5, 3)
Use the numbers 1, 2, 3, and 4 for X and substitute each value into the equation y=25x. Make a table to show your work. Find the coordinates.
(1,25)
(2,50)
(3,75)
(4,100)
What is the constant rate of change of the chart below.
time(s) 10 20 30 40 50
Inches 5 10 15 20 25
1/2 inch per second
Solve the system of equations. Write the coordinates.
y= x + 2
y= -2x - 4
(-2,0)
Solve the system of equations algebraically. Write your answer as coordinates.
y= x + 8
y= 2
(-6,2)