Try it if you dare
Table
Graph
Equations
Description
100
What is the general equation for a proportional relationship?
y=kx, where k is the constant of proportionality
100
How do you find the constant of proportionality from a table?
Take a pair of x and y values and divide them.
100
What does a graph representing a proportional relationship look like?
A straight line going through the origin (0,0)
100
What's the constant of proportionality for this equation: w = 2.4s?
COP = 2.4
100
What is the constant of proportionality (unit rate)?
Stacey hikes 12 miles in 3 hours. What is the constant of proportionality/unit rate?
4 miles per hour
200
John bought 5 books for $42.50. How much is 1 book?
It costs $8.50 for 1 book.
$8.50 per book
200
How can you tell from a table the two quantities are NOT proportional?
The ratios are not the same for every x and y pairs.
200
Is the graph proportional? Explain.
Yes, it has a straight line that starts at the origin.
200
Write an equation for the proportional table.
y = 65x
m = 65h
200
You need 30 cups of sugar for 10 servings. How much sugar is needed for 1 serving?
You need 3 cups of sugar for 1 serving.
You need 3 cups of sugar per serving.
300
Calculate the miles for 15 minutes?
1,125 miles
300
Complete the proportional table.
300
Is the graph proportional?
No, the graph doesn't start at the origin.
300
A recipe uses 3 cups of flour for every 2 cups of sugar. Write an equation that shows the proportional relationship between flour (f) and sugar (s).
s = 2/3f
f = 3/2s
300
Sally can jump 36 times in 1 minute. How much can she jump in 12 minutes?
Sally can jump 432 times in 12 minutes.
400
How many feet for 50 seconds
250 feet
400
Is the table proportional? Explain.
If it is, give me the COP. If it is NOT, explain why not.
No, they do not have the same constant of proportionality.
No, the ratios are not the same for every x and y pair.
400
What is the unit rate/constant of proportionality for the following proportional graph?
$20 per ticket
400
If a city with an area of 10 square miles has a population of 50,000 people, what is the population density per square mile?
5,000 people per square mile
400
A recipe calls for 3 cups of flour for every 2 cups of sugar. If you need to make a batch that uses 10 cups of sugar, how many cups of flour will you need to use?
15 cups of flour
500
10 cars drove around a track at constant speeds between 200-350 miles per hour. Their trips were graphed on a graph. How can you tell which line represents the fastest car?
The steepest line
The line with the greatest slope
(it covers the most distance in the least time)
500
Is the table proportional? Explain.
If it is, give me the COP. If it is NOT, explain why not.
Yes, the constant of proportionality is $2.65.
500
What is the constant of proportionality/unit rate?
$2 per student
500
What does the equation m = 65h mean for the following problem?
Each hour the vehicle goes 65 miles.
The vehicle goes 65 miles per hour.
500
James jumps 36 times in 1 hour. How many time can he jump in 10 minutes?
6 times