Inputs and outputs
Equations for functions
Graphs of functions
Variables
Solving
100
Add 3, then subtract 2 Inputs: 0,2,4,6
Outputs: 1,3,5,7
100
What is the equation for this function?
y= 3x-4
100
Is this linear or non- linear?
Linear
100
What is my independent and dependent variable?
x: independent
y: dependent
100
How much money does she make from selling 8 cups?
Emma sells lemonade for $2 per cup. The function for how much money M she makes from selling c cups is:
M(c) = 2c
$16
200
Multiply by 2 Inputs: 3,5,7,9
Outputs: 6,10,14,18
200
What is the equation for this function?
y= x-7
200
What are the labels of my axes?
x: number of rides, y: dollars on card
200
What is the independent variable?
Time (hours after noon)
200
How far does Jordan run in 2.5 hours?
Jordan is training for a race. The distance he runs each day is given by the function:
d(t) = 6t,
where d is the distance in miles and t is the time in hours.
15 miles
300
Add 6, then divide by 2 Inputs: 6, 8,10,4
Outputs: 6, 7, 8, 5
300
What is equation for this function?
Divide by 2, the add 4
y= x/2+4
300
What does P tell me about the situation?
On 7 rides she spent $27.50
300
What is the dependent variable
Dollars on card
300
What is the equation for this problem?
A gym charges a $10 registration fee plus $12.75 per month. The total cost T after m months
y = 12.75m + 10
400
What is the rule of this function?
Input Output
5 0
10 0
15 0
Multiply by 0
400
What is the equation for this function?
Inputs Outputs
3 9
6 36
5 25
y= x2
400
What is the lowest temperature of the graph?
50 degrees F
400
Describe what an independent and dependent variable is and what letter goes with each.
the independent variable (x) is the factor you change or control, while the dependent (y) variable is the factor you measure or observe to see if it changes in response to the independent variable.
400
A bike rental shop charges $7 per hour plus a $4 helmet fee. The cost function is:
C(h) = 7h + 4
What is the total cost of renting a bike for 3 hours?
If the total cost was $39, how many hours was the bike rented?
1. $25
2. 5 Hours
500
What is the rule of this function?
Input Output
3 10
7 22
5 16
Multiply by 3, then add 1
500
What is the equation of the function?
y= 3x-10
500
Describe what happened to the temperature throughout the day
The temperature increased by 9 degrees from 12pm-6pm then decreased by 6.5 degrees from 6pm-12am.
500
What is the independent and dependent variable?
Maya is saving money to buy a new bicycle. She already has $50 saved, and she earns $10 each week from her allowance. The total amount of money Maya has saved can be represented as a function of the number of weeks she saves.
Independent: weeks
Dependent: Amount of money saved
500
Write the equation then answer the question
Each school lunch costs $3.75. Maria has $20 on her lunch card. The function for how much money M she has left after buying l lunches is:
Questions:
How much money does Maria have left after 4 lunches?
1. y = 20 - 3.75l
2. $5