How do you know if a graph is proportional
Linear line that goes through the origin
Scale factor larger than 1
Enlargement
Scale factor smaller than 1
Reduction
How do you know if a table is proportional
If all of the "k's" are the same
What does the point (0, 0) mean on a graph?
The origin
How do you find "k"
Divide y by x
How do you find "y"
Multiply x and k
How do you find "x"
Divide y by k
Lily walks 60 feet in 10 seconds and Nora walks 25 feet in 5 seconds. Who walks at a faster rate?
Lily
Each student's cost is $7.50 to go to the museum. What is the constant?
$7.50
What are the 3 ways to write a ratio?
Colon, fraction, the word "to"
What is the constant in this equation Y=11x
11
Which has the best unit rate? A 16 oz jar of salsa for $3.30 or a 64 oz jar of salsa for $8.60
Shawn earns $13.25 for each mile he rides. Shawn earns a total of $251.75. How many miles does Shawn ride?
19
4 different names for "k"
Unit Rate, Constant, Scale Factor, Slope
Proportional or not proportional: y=3x
Proportional
What is the proportional relationship equation
Y=kx
Proportional or not proportional y= x - 4
Not proportional
In a table is the original figure the x or the y and is the scale drawing the x or the y
The original figure is the x and the scale drawing is the y
Create a situation using this equation. Y= 4x
The gas at Circle K is $4.00 a gallon.
Create a situation where $3.50 is the constant.
Answers may vary. Example: Each bag of apples cost $3.50.
At a local grocery store, there are 15 apples in each large bag of apples. Write an equation to show the number of apples in each bag.
y= 15x
Create a situation using this point (1,12)
A bag of oranges at a grocery store is $12 each.
How do we get the scale drawing measurements, if we have the original and the scale factor?
You multiply the original figure measurements by the scale factor
No