Key Word we look for to know that it is a unit rate
What is "Per" (bonus point for "per one")?
M represents
What is slope/rate of change?
What you get to control
What is Independent?
What is not a linear function?
Variables that represents unit rate
What is k?
b represents
what is y-intercept/initial starting point?
Relies or depends on something else
What is dependent variable?
x y Find The Rate of Change/Slope
0 1 BONUS: Find the initial values
1 4
2 7
3 10
what is m=3? What is b=1?
Values of the demnominator in a unit rate.
What is 1?
Equation for slope intercept form (to show the function between a linear relationship)
What is y=mx+b?
Independent is often represented by ___ and on the _-axis. Dependent is often represented by __ and on the _-axis
What is x, x-axis, y, y-axis?
x y Find Rate of Change
2 30 BONUS: plot the points
4 40
6 50
*initial value of 20*
M=5
Ms. McCarthy decides to buy 14 cupcakes for her birthday, they each cost $2. (FIND THE UNIT RATE)
What is 7 cupcakes per $1?
formula/equation to find slope/unit rate
What is y2 - y1/x2-x1 ?
Ms. McCarthy decides to buy 14 cupcakes for her birthday, they each cost $2. (FIND DEPENDENT AND INDEPENDENT).
What is # cupcakes is independent and cost ($) is dependent?
Sarah $5 paid for two pounds of slime. Make a graph showing how much Sara paid per pound (0-5).
x y
0 0
1 2.5
2 5
3 7.5
4 10
5 12.5
FALSE: although they all mean the same thing, they are found in different ways. Rate of changes needs the equation (mentioned in another problem). Unit Rate is found by finding the amount "per one".
An equation that represents this problem: Ms. Patel decided to buy candy for the students in her class. She found a sale where the after paying $8 for shipping, it costs $6 per 3 pieces of candy.
BONUS: How much would it cost her to buy 15 pieces of candy?
What is y=2x+8?
BONUS: what is y=2(15)+8
y=38 dollars.
What is speed is dependent is time is independent.
We know that the base cost of a ring with 0 gems is $400. For an additional two gems, it costs $20 extra. Make a graph to represent the x and ys (can include the equation!) At least 3 gems!
x y=10x+400 y
0 y=10(0)+400 400
1 y=10(1)+400 410
2 y=10(2)+400 420
3 y=10(3)+400 430