Vocabulary
Linear Function
A function with a constant rate of change
Write a linear function with a slope of -9 and a y-intercept of 5 (y=mx+b)
y =-9x+5
How many categories are there in the Real Number system?
What are the two forms we have learned to model linear equation? (Yesterday's notes)
Slope Intercept form
Standard form
President Calvin Coolidge had a pet named Rebecca. What kind of animal was she?
What is a raccoon?
Domain and Range
Domain: set of all x values
Range: set of all y values
Find the slope of a line that passes through the points (0, 5) and (2, 10)
m = 5/2
This property uses parenthesis to regroup terms when adding or multiplying terms.
What is the Associative Property?
Write a linear function to model the following situation:
A high school club is researching a tour package offered by the Island Kayak Company. The company charges $35 per person and $245 for the tour guide.
y=35x+245
This is Miss T's favorite color.
What is pink?
Rate of Change
the slope or steepness of a line
A camping pass for Forest Express costs $500 for the season and $8 each time you visit the park. If your family has a season pass and visits the park 12 times over the summer, how much will camping cost?
y=8x+500
y=8(12)+500=$1460 for the summer.
{(1,4), (-1,7), (2,4), (0,9), (-2,4)}
Yes, all x values are different (do not repeat)
Write a linear function to model the following situation:
Jennifer makes and sells truffles. A dozen truffles cost $6 to make and she sells them for $15 per dozen.
y = 15x-6
How many pleats does a chef's hat have?
(Extra 100 points if you know WHY)
Bonus: One for each way they know how to cook an egg.
Initial Value
The starting point, or y-intercept of a graph, the constant term in a function
What is the slope of the linear function
y = 14
0
The relationship between square and square root.
What are inverse operations.
T-Mobile charges $100 a month for a family plan for four people. They also charge a one time set up fee of $25. Write a function to show how much money she spends in total after x months.
y=100x+25
What year was the first time OMG was used?
1917, in a letter to Winston Churchill from an officer in the British Navy.
A relation in which each x value is different (no repeating x values)
What is a function?
What are the rate of change and initial value of the linear function:
4x+2y=8
Rate of change: -2
Initial Value: 4
A decimal the never repeats or ends.
What is an irrational number?
Anthony is buying carrots and celery at the grocery store. The carrots cost $1.50 per pound, x. The celery costs $1.25 per pound, y. He has a total of $10 to spend.
Write an equation in standard form that represents how many pounds of carrots x and pound of celery y that he can buy.
1.5x+1.25y=10
This animal is actually allergic to humans.
What are cats?