Proportional Tables
Real-World Scenarios
Word Problems
Equations
Miscellaneous
100
Does the table below represent a proportional relationship? How do you know?
Yes. Each row is multiplied by 5
100
A car travels 60 miles in 1 hour. How many miles will it travel in 3 hours?
180 miles
100
A fruit stand sells 3 apples for $2. How much will 9 apples cost?
$6
100
What is the equation that represents a proportional relationship
Y=Kx
100
2/3 xx 6/(7)
4/7
200
What is the constant of proportionality represented by the table?
1/3
200
A recipe calls for 4 cups of flour for every 3 cups of water. What is the constant of proportionality for flour per cup of water?
3/4 or .75
200
Sarah can walk 2 miles in 30 minutes. How far can she walk in 75 minutes?
5 miles
200
Find the constant of proportionality for the equation y=7x
7
200
Which of the following represents a proportional relationship:y= 2x + 3 or y = 5x?
y=5x
300
y=1.4x
300
A pool fills at a rate of 8 gallons per minute. Write the equation for the amount of water W after M minutes. Use w and m as your variables
w=8m
300
A factory produces 50 widgets per hour. Write an equation to represent the total widgets produced w after h hours
w=50h
300
What does the Variable k stand for?
Constant of proportionality
300
Write two constants of proportionality for this situation: A car travels 180 miles in 3 hours.
1. 60 or 180/3
2. .016 or 3/180
400
If x = 8 and y = 40 in a proportional table, what is the constant of proportionality?
k=5
400
A worker earns $180 in 8 hours. How much do they earn per hour? How much will they make in 12 hours
$22.50 per hour
$270 in 12 hours
400
If a machine makes 80 gadgets in 4 hours, how many gadgets will it make in 10 hours?
200 gadgets
400
If y=9x, how much will x be when y=12
1.33
400
If the ratio of cats to dogs is 3:5, what is the constant of proportionality?
1.66
500
The table is not proportional, so there is no equation
500
A car travels 240 miles in 4 hours. What is the constant of proportionality for miles per hour AND hours per mile?
60 miles per hour
.016 hours per mile
500
A company earns $3,600 after selling 120 t-shirts. What is the price per t-shirt, and how much will the company earn for selling 250 t-shirts?
$7,500
500
The equation is y=4x Find y when x=9
1. 36
500
6/7 divide 2/(3
9/7 or 1.28 or 1 2/7