Constant of Proportionality (Unit Rate)
Proportions
Tables and Graphs
True or False
Proportional Relationships
Proportional Relationships
Proportional or Non-Proportional Relationships?
100
Jude sends 45 E-mails in 15 minutes.
How many E-mails did he send per minute?
He sent 3 E-mails per minute.
100
13/8 = x/4
x=6.5
100
Proportional or Non-Proportional?
Proportional.
The relationship is constant because if we divide each cost per number of tickets, we see the constant of proportionality is $1.50 per ticket.
100
True or False?
Every 2.5 hours, a machine produces
2250 basketballs. The unit rate is 900 basketballs per 1 hour.
True. 900 basketballs per hour
100
Proportional or Non-Proportional? Why?
Proportional.
Passes through origin
Straight line
200
Lenasia earned $640 in a 40-hour work week.
What is Lenasia's hourly rate of pay?
Lenasia earns $16 per hour.
200
15/10 = c/4
c=6
200
Proportional or Non-Proportional? Explain.
This is not proportional because when we divide the sales of ice cream by each temperature, we do not get a constant rate.
200
True or False?
When two variables are proportional, they have a constant ratio or constant quotient.
True. In your math workbook and was on the Quizizz.
Examples: x/y or m/n
200
Proportional or Non-Proportional? Why?
Proportional.
Passes through origin
Straight Line
300
A helicopter propeller spins 2400 revolutions in 4 minutes. What is the constant of proportionality (k), in revolutions per minute?
The constant of proportionality is k = 600 RPM.
300
x/14 = 3/6
x = 7
300
A graph represents a proportional relationship if:
1.
2.
1. It is a straight line
2. It passes through the origin
300
True or False?
2/3 = 4/6
True.
Cross multiply 2 x 6 = 12
Cross multiply 3 x 4 = 12
300
Proportional or Non-Proportional? Why? Hint: set up ratio for each row and divide.
Proportional. Constant rate = $1.25
or $1.25 per 1lb. of bananas
400
Jeff earned $400 working a 40-hour work week.
Find Jeff's hourly wage (earnings).
Jeff makes $10 per hour.
400
16/y = 8/5
y=10
400
Proportional or Non-Proportional?
Proportional.
1- Straight Line
2- Passes through the origin (0,0)
400
True or False?
The constant, or unit rate, is known as the constant of proportionality.
True. Page 28 in your math workbook.
400
Proportional or Non-Proportional? Why?
Non-Proportional.
It is not a straight line.
500
Janine sells 16 apples for $8.00. What is the unit price for each apple?
How much would she earn if she sold 64 apples?
The unit price is $0.50 per apple.
Janine would earn $32.00 for selling 64 apples.
0.50/1=x/64
500
d/32 = 3/8
d=12
500
Does this table represent a proportional relationship between the cost and number of tickets?
No. It is non-proportional. The ratios are not the same.
Ex.
24/2=12
28/4 = 7
500
True or False? This graph is proportional.
False. It does not pass through the origin.
500
Proportional or Non-Proportional? Why?
Non-Proportional.
Does not pass through the origin.
600
What does Mrs. Sims say to dismiss you from school each day?
Peace and Hair-Grease
600
Who is Mrs. Sims' favorite student?
You all are her favorite students
600
What does Mrs. Sims expect you to do now?
Have a great weekend!!!!!!
PEACE Au Revoir
SEE Ya Dueces
600
How many kids does Mrs. Sims have?
4
Son\Christian - 26 Son\Kaimin - 15
Daughter\Morgan - 21 Daughter\Lauren - 13
600
Who is the best math teacher hands down?
Mrs. Sims