Unit Rate
Tables
Graphs
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
Complete the proportional table.
100
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?
Stacey hikes 12 miles in 3 hours and 20 miles in 5 hours.
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
Complete the proportional table.
200
Is the graph proportional?
No, it does not start at the origin.
200
What does the equation(rule) mean for the following problem. y = 65x
Each hour the car goes 65 miles.
200
Use the equation to find the value of y
when x = 8
y = 3.5x
y = 28
300
You need 1/2 cup of sugar for 3 servings. How much sugar is needed for 1 serving?
1/6 cup of sugar.
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
Write an equation to represent the proportional graph.
y = 2x
300
Calculate the miles for 15 minutes?
1,125 miles
400
John bought 5 books for $42.50. How much is 1 book?
It cost $8.50 for 1 book.
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
Write an equation for the proportional table?
c = 1.5p
400
How many feet for 10 seconds?
50 feet
500
Jeff earned $400 working a 40-hour work week. Find Jeff's hourly wage and use it to predict how much he will make if he works for 47 hours.
Jeff makes $10 per hour.
He would make $470 in 47 hours.
500
Is the rate of change for this table proportional? 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
Which line has a slope of 2?
Line m
500
Gianna reads 27 pages in 9 minutes. Write an equation for this relationship.
Hint: Find the constant of proportionality first.
y=3x
500
Naim walks 2 miles for every 30 minutes. How much did he walk after 2 hours?
Naim walked 8 miles in 2 hours.