Inversely Proportional Functions, in Depth
Read this topicExplanations 3
- Inverse Proportion An inversely proportional relationship is of the form y=kxy=\frac{k}{x}y=xk. It can be related to a rational function. For k=1, the function looks like this:…
By Daniel Hu, Alex Federspiel, Eunji Kwon
- (Video) Inversely Proportional by Meso Maths Variables are inversely proportional when their product is always the same. That means that if the product is positive, yyy will dec…
By Ben Ferrara, Zora Gilbert, Alex Federspiel, Amy Feraco
- (Video) Direct and Inverse Proportion by HEGARTYMATHS In this video, HEGARTYMATHS goes over the basics of solving problems involving direct proportionality. If yyy is directly p…
By Alex Federspiel, Zora Gilbert, Joshua Siktar
Problems 20
- As the number of cats in a habitat increases, the number of small birds decreases proportionally (i.e. inversely proportional). If currently there are 100 cats and 400 birds in …
- If this is an inversely proportional relationship modeled with y=kxy=\frac{k}{x}y=xk what is kkk?
- The number of haircuts a person gets in a year varies inversely with the number of times they are mistaken for a homeless person in public. Ian rarely gets hair cuts; only twice…
- When a person buys bottles of soda, the local grocery store makes the cost per bottle cheaper when you buy more bottles via an inversely proportional relation. When a person buy…
- A fallout bunker has enough supplies to last 121212 people 505050 days. If there are 202020 people in the bunker, how many fewer days can the group last?
- A house can be built by 151515 workers in 200200200 days. How many days will it take 101010 workers to build the house? Write your answer without units.
- The number of fence posts on a fence varies inversely to the distance between the posts. If a fence has a dozen posts, the distance between the posts is 444 inches. What is the …
- The relationship between how many hours a high school student spends watching TV a week and his average GPA is inversely proportional. The average student spends 14 hours watchi…
- If this is an inversely proportional relationship modeled with y=kxy=\frac{k}{x}y=xk what is kkk?
- The variable yyy is inversely proportional to the variable xxx. When x=24x=24x=24, y=6y=6y=6. Using this information, solve for xxx when y=16y=16y=16.
- Shelby is on her way home from school. If she drives an average of 353535 mph, she will arrive at home in 101010 minutes. How long would it take her to get home if she drives an…
- Nick is planning to paint the fences around his house. The number of people he hires and the time it takes to finish painting the fences is inversely proportional. Assume that e…
- In this problem, sss is inversely proportional to ttt. When sss is 333, ttt is 666. What is the value of sss when t=15t= 15t=15?
- AAA is inversely proportional to BBB. When A=20A= 20A=20, B=5B=5B=5. What is AAA when B=6B=6B=6?
- Faith has to make cookies for a bake sale. If she bakes 202020 cookies at once, she can finish baking all the cookies in 222 hours. How long would it take for her to finish baki…
- It takes 180180180 days for 202020 workers to build a house. How long would it take to build a house with 404040 workers? Assume the number of days and workers are inversely pro…
- In this problem, yyy is inversely proportional to xxx. When xxx is 888, yyy is equal to 131313. What is the value of yyy when x=19x=19x=19?
- If this is an inversely proportional relationship modeled with y=kxy=\dfrac{k}{x}y=xk, what is kkk?
- The number of minutes Jack can spend playing video games varies inversely with the number of problems he solved incorrectly on his homework. If Jack got 101010 problems incorrec…
- In this problem, DDD is inversely proportional to CCC. When CCC is 777, DDD is equal to 212121. What is the value of DDD when C=5C=5C=5?