Unit Rate
Proportional Tables
Proportional Graphs
Proportional Equations
Constant of Proportionality
100
It is $39.96 for 4 pizzas. How much is it for 1 pizza?
It cost $9.99 for 1 pizza
100
How can you check if a table is proportional?
divide y by x to see if the have the same constant of proportionality
100
DOUBLE POINTS FOR GOOD EXPLANATION
Is the graph proportional? Explain.
Yes, it has a straight line that starts at the origin.
100
Write an equation for the proportional table.
y = 65x
100
What is the constant of proportionality (unit rate)?
Stacey hikes 20 miles in 5 hours. (mph)
4 miles per hour
200
Sally can jump 36 times in ½ minute. How much can she jump in 1 minute?
Sally can jump 72 times in 1 minute.
200
Create a proportional table with a constant of proportionality of 6.
lemme see
200
Is the graph proportional?
No, it does not start at the origin.
200
TRIPLE POINTS
What does the letter k stand for in this equation?
the constant of proportionality
200
What is the constant of proportionality (unit rate)?
y = 3/4x
3/4
300
John bought 5 books for $42.50. How much is 1 book?
It cost $8.50 for 1 book.
300
Is the table proportional? Explain.
No, they do not have the same unit rate.
300
What is the unit rate for the following proportional graph?
$20 per ticket
300
TRIPLE POINTS
What are the 7 colors of the rainbow?
QUADRIPLE IF WRITTEN IN THE RIGHT ORDER
Red, orange,yellow,green,blue, indigo, purple
300
What is the constant pf proportionality?
75 miles per minute
400
You need 1/2 cup of sugar for 2/3 of a serving. How much sugar is needed for 1 serving?
You need 3/4 cup of sugar for 1 serving
400
Is the table proportional? Explain.
Yes, it has the same unit rate of $2.65.
400
Write an equation to represent the proportional relationship.
y = 2x
400
What doe the equation (rule) mean for the following relationship?
y = 1.5x
Each pound cost $1.50.
400
Is the constant of proportionality for this graph 5 feet per second? TRUE or FALSE
TRUE
500
True or False
Unit rate is the same thing as a proportional relationship?
False it is the same thing as constant of proportionality
500
Is the rate of change for this table constant or variable? Explain.
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.
500
A graph represents a proportional relationship if:
1.
2.
1. It is a straight line
2. It passes through the origin
500
The equation y = 55x represents the rate of the Long Island highway speed limit, in miles per hour. Let x represent the number of hours driven and y represent the total miles driven.
How long was Francis driving if he drove 247. 5 miles at the speed limit.
Francis drove for 4.5 hours.
500
DOUBLE POINTS
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 for selling 64 apples.