Vocab
What letter does the constant of proportionality stand for?
K
True or False
3:2 is equivalent to 27:18
True
Does this equation represent a proportional relationship?
y=-1.5x + 5
No
An average person blinks 50 times every 2.5 minutes. How many blinks occur in 10 minutes?
200 times
Let's try it! Danielle uses 6 lemons to make 3/4 of a gallon of lemonade. How many lemons does Danielle use per gallon?
8 lemons per 1 gallon
A ________________ is a rate in which the denominator is equal to 1.
Unit Rate
Ron Weasley takes 30 minutes to make 4 candles for the Hogwarts castle. It takes him 60 minutes to make 8 candles and 120 minutes to make 20 candles. Can the relationship between the time it takes him to make a number of candles be represented by a constant rate?
No, the relationship is not constant.
Does this represent a proportional relationship?
Yes
The car travels 752 miles in 16 days. How many miles will the car travel in 17 days?
799 miles
Jayden hiked 3/4 of a mile in 2/3 of an hour. How fast was Jayden hiking per hour?
1 1/8 miles per 1 hour
A _________________ relationship is a relationship between two quantities in which the rate of change or ratio is CONSTANT.
Proportional
Marisol takes 30 minutes to make 8 candles. It takes her 60 minutes to make 20 candles. Can this relationship between time and number of candles be represented by a constant rate?
No, the ratio is not constant.
What is the constant of proportionality for the graph?
k = 5
An average 7th grader reads 3 1/2 books every 2 months. If the average book contains 300 pages, how many pages a year do most 7th graders read?
21 books so 6,300 pages
Let’s say you can run 3/4 of a mile in 2/3 of an hour. What is the constant of proportionality for miles per hour? k = _________.
k = 9/8 or 1 1/8
A proportional relationship can be written in the equation form ______________.
y=kx
What would the value of x be to make the ratios equivalent?
3:9 = 5:x
x=15
Write the equation for the proportional relationship.
y = 25x
A car travels 150 kilometers in 3 hours. Assuming a constant speed, how many hours are needed for this car to travel 250 kilometers?
5 hours
Car A travels 150 kilometers in 3 hours. Car B travels 220 kilometers in 4 hours. Assuming both cars travel at constant speeds, which of the two cars travels faster?
Car B
A constant of proportionality, k, can be found by following the equation ____________.
k = y/x
If Sam knitted 63 quilts in 8 hours. How many did she knit 23 hours?
Round to the nearest whole quilt
181 quilts
x | 2 | 5 | 6 | 10 |
y | 1 | 2.5 | 3 | 5 |
Yes
A container with 324 liters of water leaks 3 liters every 5 hours. How long does it take for the container to become completely empty?
540 hours
A balloon is increasing so many ft per minutes. At 8 minutes, the balloon is at a height of 28 ft. Write an equation for the relationship.
y = 3.5x