Modeling with Functions
Linear Functions
Linear Equations
Linear Inequalities
Random Trivia
100
Determine if the table is linear or exponential and tell me the growth factor
Linear with a growth factor of 8
100
Label and rise and run of this graph
Rise: 5
Run: 6
100
Determine the slope of the line
The slope is 1
100
Will the following inequality have an open circle or a closed circle?
3x+7<16
Open!
100
What city has the oldest Chinatown in the United States?
Double points if you know when it was created!
San Francisco!
1850s!
200
Determine the slope of the line
The slope is 1
200
If Mr.Boden paddles at a rate of 1050 meters in 6 minutes, what is his unit rate? Make sure to label units!
Mr. Boden paddles 175 meters per minute
200
Find the equation for the line that goes through (2,5) and (6,-11)
y=-4x+13
200
Solve and graph the following inequality
-3(2x-2) > 21
x<3
200
What is the highest-grossing film as of 2022?
Avatar!
300
Find f(2), f(5), and f(10) for the equation
Make sure to label your solutions!
f(2)= 1
f(5) = 22
f(10) = 97
300
List the following slopes from least steep to most steep
10, -5, 3.4, -9, -16
3.4, -5, -9, 10, -16
300
Find the equation of the line that is blue
y=2x+1
300
Write 2 inequalities for the following problem
Ink: 40B + 30M <=300
Pages: 200B + 80M <= 1200
300
How big is San Francisco in square mileage?
46.87 square miles!
(will take 49)
For context: LA is 503 square miles and NY is 302 square miles
400
Find f(-3), f(0), and f(2) of the following graph
f(-3) = 5
f(0)= -5
f(2) = 2
400
Find the domain of the graph in the picture
.svg?revision=1&size=bestfit&width=300&height=300)
Domain: -infinity < x <= 1
Range: 0 <= y < infinity
400
Hannah's electricity company charges her $0.10 per kWh (kilowatt-hour) of electricity, plus a basic connection charge of $15.00 per month. Write a linear equation that represents her monthly electricity bill. Then determine how many kWh she used if her bill was $20 for one month.
y = 0.10x + 15
f(15) = 14.5
400
Graph this system of inequalities. Make sure to label all key points in your feasible region
Answers may look different depending on scaling, but the point of intersection is at (-4,-6)
400
Who is the youngest guard to ever be drafted into the NBA?
Kobe Bryant
500
Jack saves $100 a month and already has $1200.
Jill starts off with 1 dollar and is able to get 5 times her amount of money from the previous month.
Figure out how long it takes for Jill to have more money than Jack
About 5 months
500
Suppose that the water level of a river is 34 feet and that it is lowering at a rate of 0.5 feet per day. Write your equation in function notation. What would the water level be after 10 days?
f(x) = -0.5x +34
f(10) = 29
500
Solve the following system
x+2y=4
3x+3y=18
Double points if you solve using both methods!
(8,-2)
500
Find the x and y intercepts of the following inequalities and graph them
A: 40x + 30y <300
B: 200x + 80y < 1200
A: (0,10) & (7.5,0)
B: (0,15) & (6,0)
500
According to psychologists, when is the best time to study?
An hour before you sleep