Constant of Variation - Definition & Examples
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- (Video) Inverse Variation by mathman1024 Here's a video by mathman1024 explaining inverse variation or inverse proportionality. Summary\large{\text{Summary}}Summary Inverse vari…
By Alex Federspiel, Zora Gilbert, Liza Sulkin, Amy Feraco, Jonathan Heller
- What are Inverse Proportions? Inverse proportionality, or inverse variation, is a special relationship between two variables. When one variables changes, the other changes propo…
By Alex Federspiel, Dani, Anusha Rahman
- Constant of Variation Recall that the constant of proportionality is the the kkk in the direct variation equation y=kx.y=kx.y=kx. Similarly, the constant of variation is the kkk…
By Caroline K
Problems 44
- What is the constant of variation in 2y=4x2y=\frac{4}{x}2y=x4 (where yyy is inversely proportional to xxx)?
- What is the constant of variation in 4=yx4=yx4=yx (where yyy is inversely proportional to xxx)?
- In which equation is yyy inversely proportional to xxx?
- In which equation is yyy inversely proportional to xxx?
- The table above represents an inversely proportional relation, y=k/xy = k/xy=k/x, between yyy and xxx. What is kkk?
- The table above represents an inversely proportional relation, y=k/xy = k/xy=k/x, between yyy and xxx. 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…
- 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.
- What is the constant of variation in y=12xy=\frac{1}{2x}y=2x1 (where yyy is inversely proportional to xxx)?
- 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…
- Let fff be a function satisfying f(ab)=f(a)/bf(ab) = f(a)/bf(ab)=f(a)/b for all positive real numbers aaa and bbb. If f(10)=3f(10) = 3f(10)=3, find f(15)f(15)f(15).
- Kevin has a list of books he wants to read over the summer. The amount of books he reads, BBB, is inversely proportional to the hours he works WWW. The formula is given by B=403…
- Which of the following equations show an inversely proportional relationship between xxx and yyy?
- True or False\text{True or False}True or False === If yyy decreases as xxx increases, xxx and yyy are always inversely proportional.
- Which of the following statements is true?
- xxx and yyy are inversely proportional. When x=2x=2x=2, y=2.5y=2.5y=2.5. When x=0.25x= 0.25x=0.25, y=20y=20y=20. \\ Which equation express this relationship?
- Write an equation that expresses the relationship between aaa and bbb. Is it inversely proportional?
- Which of the following does not express an inversely proportional relationship between xxx and yyy?
- What is the constant of variation?
- In an inversely proportional relationship, what is the constant kkk?
- y=1x×23y=\frac{1}{x} \times \frac{2}{3}y=x1×32 The equation above describes yyy as a function varying inversely with xxx. What is the constant of variation?
- What is the constant of variation?
- xxx and yyy are inversely proportional. What is the constant of variation?
- xxx and yyy are inversely proportional. The following coordinates are on the function. {(3,4),(1,12)}\{(3,4), (1,12)\}{(3,4),(1,12)} What is the constant?
- If y=2xy = \frac{2}{x}y=x2, then...
- If y=2−xy = 2-xy=2−x, then...
- If LLL is inversely proportional to WWW, mark all choices below that must be true.
- Caffeine keeps you up. Suppose the amount of caffeine you drink is inversely proportional to the amount of sleep you get. When you drank 404040 mg of caffeine you only got 666 h…
- The amount of storage left on your phone is inversely proportional to the number of pictures you take. Say you take 323323323 photos and have 4GB of storage left. How much stora…
- A movie theater discovered that ticket sales were inversely proportional to how nice the weather was. Suppose they use a scale from 1−1001-1001−100 to rate the weather: where 10…
- Let xxx and yyy be inversely proportional. If x=13x=13x=13 when y=6y=6y=6, what will xxx equal when y=3y=3y=3?
- Let xxx and yyy be inversely proportional. If x=13x=13x=13 when y=6y=6y=6 write an equation for yyy in terms of xxx.
- Let xxx and yyy be inversely proportional. If x=ax=ax=a when y=by=by=b, find an equation for yyy in terms of xxx.
- A game company realized the price of their game and the number of games sold were inversely proportional. When they sold their game for 60\6060 they sold 158215821582 games. How…
- A teacher realized the number of pages of reading she assigned was inversely proportional to the number of students who did the reading. When she assigned 303030 pages of readin…
- Let xxx and yyy be inversely proportional. If x=8x=8x=8 when y=363y=363y=363, find xxx when y=6y=6y=6.
- Let xxx and yyy be inversely proportional. If x=54983291x=\frac{5498}{3291}x=32915498 when y=19539451y=\frac{1953}{9451}y=94511953, find xxx when y=54983291y=\frac{5498}{3291}…
- Which of the following functions demonstrates an inversely proportional relationship between xxx and yyy?
- Two variables xxx and yyy are inversely proportional. When x=1x=1x=1, y=4y=4y=4; when x=8x=8x=8, y=0.5y=0.5y=0.5. What is value of xxx when y=2y=2y=2?
- What is the relationship between speed and travel time? Assume the distance traveled is constant.
- Which of the following express an inversely proportional relationship between xxx and yyy?
- Jackie is driving to visit her grandma. If she drives at 404040 miles per hour, it will take her 757575 minutes. How fast does she have to drive in order to get to her grandma's…