Proportional Relationships
This is what a relationship needs to have in order to be considered a proportional relationship.
Constant of proportionality
This formula is used to find the area of a circle, where r is the radius.
A=πr^2
What is the result of −7+5?
-2
A positive
A store is having a sale where everything is 25% off. If a jacket costs $40, what is the price of the jacket after the discount?
$30
If you are driving at a constant speed of 60 miles per hour, the time it takes to drive a certain distance is proportional to the distance. If it takes 3 hours to drive 180 miles, how long would it take to drive 240 miles?
4 hours
The circumference of a circle is given by this formula, where d is the diameter.
C=πd
If the temperature is −3 degrees and it drops by 6 degrees, what is the new temperature?
-9 degrees
A negative time a positive equals...
You scored 80% on your math test. If the test had 50 questions, how many questions did you answer correctly?
40 Questions
A recipe calls for 2 cups of flour for every 3 cups of sugar. How many cups of flour will be needed if you use 9 cups of sugar?
6 Cups of flour
circle has a radius of 4 cm. What is the area of the circle? (Use π≈3.14)
50.24cm^2
What is the result of 8−(−4)?
12
A submarine is diving to a depth of 9 meters below sea level. If it moves upward 3 meters per minute, how many minutes will it take to reach sea level?
3 minutes
A student reads 3/5 of a book. What percentage of the book has the student read?
60%
The cost of 5 pencils is $3.50. How much would 15 pencils cost, assuming the price is proportional?
$10.50
If the diameter of a circle is 10 meters, what is the circumference? (Use π≈3.14)
31.4 meters
You owe your friend $12, then you earn $5. What is your new balance?
$-7
A hiker is walking downhill. At one point, the hiker is at −15. They then hike uphill for 5 meters every 2 minutes. After 6 minutes, where will they be?
-3 meters
A shirt costs $25 before tax. There is a 12% sales tax. How much will the shirt cost after tax?
$28
If a group of students reads 8 pages of a book in 20 minutes, how many pages will they read in 50 minutes, assuming they read at the same rate?
20 pages
A circle has an area of 78.5 square inches. What is the radius of the circle? (Use π≈3.14)
5 inches
The temperature is 4degrees and then drops by 10 degrees and rises by 3 degrees. What is the final temperature?
-3 degrees
The temperature in Alaska is −12 degrees and it drops 4 times as much each hour due to a cold front. What is the new temperature after 3 hours?
-48 degrees
In a class of 40 students, 75% of the students are wearing glasses. How many students are wearing glasses?
30 students