Identifying Independent and Dependent Variables
Fill in the blank the variable that depends on something is the _______ variable
Dependent Variable
Write an equation for the table:
Number of Tickets, t Cost, c
1 5
2 10
3 15
c=5t
Fill in the missing value
Input Rule 2s Output
1 2(1) 2
2 2(2) 4
3 2(3)
6
What is the output variable (independent or dependent)?
dependent
Why is a table important for graphing equations?
On the coordinate plane, where (side or bottom) are the independent and dependent variables located?
Dependent on the side, Independent on the bottom
Write an equation for the table:
Number of Rides, r Total Cost, c
1 10
2 12
3 14
c=2t+8
Fill in the missing values
Input Rule s+2 Output
3 3+2
4 4+2
5 5+2
5
6
7
What is the input value? (Independent or dependent variable)
independent
What input value on the table will give you the initial value? (what to add to the equation)
0
The total cost, t of a gym membership is $20 for each month, m. What are the independent and dependent variables?
Months, m- Independent
Total Cost, t- Dependent
Write an equation for the table
Number of pounds, p Cost, c
1 4.50
2 5.00
3 5.50
c=0.50p+4
Fill in the missing value
Input Rule Output
s-1 4
s-1 8
s-1 12
5
9
13
What is the only other correct way to have the equation d=2s
2s=d
What are the steps to graph an equation given a word sentence?
1. Make an equation
2. Make a table
3. Sort into coordinates
4. Graph
Identify the independent and dependent variables: The number of gallons of paint, p to paint a walls, w.
Walls, w- Independent
Paint, p- Dependent
Write an equation for the table:
Parks, p Hours, h
1 2.25
2 3.25
3 4.25
h=p+1.25
Fill in the missing values
Input Rule, 1.50+t Output
1.50+t 3
1.50+t 3.50
1.50+t 4.50
1.50
2
3
How do you know if you have to add something (an initial value) to your equation?
If you plug a value into the input, and it doesn't equal the output
Write an equation based on the table
x y
0 50
1 75
2 100
3 125
y=25x+50
When writing an equation, where is the dependent variable located? Bonus 100 points for explaining where the independent variable is located.
Dependent variable is by itself. For bonus 100- independent variable is multiplied by the amount of that item (coefficient).
What is the standard form of an equation?
y=mx+b
Fill in the missing values:
Input Rule Output
32.35 x-5
50.75 x-5
60.25 x-5
27.35
45.75
55.25
Explain the steps to write an equation from a graph
1. Identify the independent and dependent variables
2. Identify the coordinates
3. Make a table
4. See what the output goes up by
5. Test it to find what to add (initial value)
Michael teaches Fortnite classes. He charges $500 per lesson and $20 to sign up. Write an equation and make a table with the input values of 0,1,2, and 3 to represent the total cost, c and the number of lessons, f.
c=500f+20
0 20
1 520
2 1020
3 1520