Ratios, Rates, and Unit Rates
Math Vocabulary
Exploring Equations
Graphs
Tables
100
Find an equivalent ratio.
4 to 7
What is 2:3.5, 8:14, 12:21, etc.
100
Unit rate is the same as the __________.
Constant
100
What equation represents proportional relationships?
y = kx
100
Is the graph proportional? Why or why not? 
Yes, because the points appear on a line that passes through the origin.
100
Is the table proportional? Why or why not?
Yes, because there is a constant of 1/2.
200
Ethan’s cookie recipe uses 3 cups of sugar to make 21 cookies. Mia’s recipe uses 4 cups of sugar to make 28 cookies. Are the ratios equivalent?
Yes, both are 7:1
200
A symbol or placeholder for a missing number
Variable
200
In the equation, g = 6r, which variable represents the dependent variable? Which is the independent variable?
g is the dependent variable
r is the independent variable
200
Is the graph proportional? Why or why not?
No, although the points appear on a line, the line does not pass through the origin.
200
Not proportional
300
The cost of renting a snowmobile is $37.50 for 5 hours. What is the rate?
Hint: What's the difference between rate and unit rate?
$7.50 per hour
300
This formula is used to find the constant of proportionality or the unit rate
k = y/x
OR
k = dependent variable/independent variable
300
Which equation represents the relationship of the table?
a) C = 0.33a
b) C = 3a
c) C = 65a
d) C = a ÷ 3
b) C = 3a
300
What does the point (0,0) represent on a graph? What does it mean on this graph?
(0,0) is the origin on all graphs. On this graph it means weight on the moon is 0lbs when weight on the Earth is 0lbs.
300
D
400
Tracey walked 100 meters in 5 minutes. If she walked for 1 minute, what would be an equivalent ratio of meters to minutes?
20 meters : 1 minute
400
A proportional relationship can be represented by the equation _________.
y = kx
400
Ms.Lawson gives 3 pieces of candy, C, to each student, S, when the advisory has a fantastic class session. One students created the equation, C = 3S, to find the total pieces of candy Ms.Lawson handouts at the end of each class. Is the equation correct? Why or why not?
Yes, because the rate is 3 pieces per student and it can be multiplied by the number of students for each advisory to find the total pieces given after each class.
400
Is the graph proportional? Why or why not?
No, although the points appear on a line that passes through the origin, the line is not straight.
400
What is the unit rate of the table? How do you know?
4 because cost is the dependent variable since the amount of dozens will affect the cost.
8 ÷ 2 = 4
500
Mary has saved $17.50 in the past 3 weeks. At this rate, how much will she save in 15 weeks?
MUST show your work using a table or an equation.
$87.45
500
a relationship between two quantities where their ratios are equivalent
Proportional Relationship
500
Write an equation that allows the number of bales of hay to be found for any number of mules.
h = .5m
h = (1/2)m
500
What does the point (1,5) represent on the graph?
(1,5) represents the unit rate, meaning there are 5 gallons of water used every 1 minute.
500
Complete the table so that the relationship is proportional.
Blue: 2.8
Red: 2.5, 25