Joint Variation and Combined Variation - Definitions
Read this topicExplanations 3
- Joint Variation Joint variation is just like direct variation, but it involves more than 222 variables. Here is a quick refresher on simple direct variation if you need it. This…
By Hannah Bonville, Alex Federspiel, Jonathan Heller, Joshua Siktar, Anusha Rahman
- (Video) Joint and Combined Variation by mathman1024 This a video by mathman1024 explains joint variation and combined variation. Summary\large{\text{Summary}}Summary The joint v…
By Alex Federspiel, Amy Feraco, Jonathan Heller, Joshua Siktar, Anusha Rahman
- Joint Variation Many algebra problems can be solved by using a direct proportion or an inverse proportion by itself. However, for some problems we need to combine these two type…
By Alex Federspiel, Jonathan Heller, Joshua Siktar, Anusha Rahman, Caroline K
Problems 25
- Suppose yyy jointly varies with ttt and sss. When t=4t=4t=4 and s=6s=6s=6, y=192y=192y=192. What is kkk, the constant of variation?
- Suppose xxx varies directly with ggg and the square root of hhh. If x=48x=48x=48 when g=4g=4g=4 and h=9h=9h=9, what is kkk?
- Suppose zzz varies inversely with xxx and yyy. When z=4z=4z=4, x=3x=3x=3 and y=2y=2y=2, what is kkk, the constant of variation?
- Suppose hhh varies with directly with aaa and inversely with the cube of bbb. What does this relation look like?
- jjj varies inversely with hhh, and directly with the square of lll. What does this relationship look like?
- Which elements are inversely proportional? \\ Hint: If two variables are inversely proportional, what do we know about their product?
- Which of the following statements is true?
- Suppose yyy varies inversely with zzz and directly with www. Find the value of kkk when z=7z=7z=7, y=16y=16y=16, and w=8w=8w=8.
- Suppose yyy varies inversely with the square of www and directly with zzz. Find the value of kkk when w=4w=4w=4, y=9y=9y=9, and z=24z=24z=24.
- Suppose yyy varies inversely with zzz and directly with the square root of 2w2w2w. Find kkk when y=12y=12y=12, z=4z=4z=4, and w=18w=18w=18.
- Suppose yyy varies inversely with the square root of 2w2w2w and directly with the cube of zzz. What does kkk equal?
- Suppose yyy varies directly with three times the square of www and inversely with half of zzz. How can this relation be rewritten as a mathematical equation in simplest form?
- Suppose yyy varies jointly with 4x4x4x and z\sqrt{z}z. What does kkk equal?
- Suppose yyy varies jointly with 4x4x4x and z\sqrt{z}z. What does kkk equal when y=18y=18y=18, x=3x=3x=3, and z=9z=9z=9?
- Given the following definition, determine which type of variation is being described: \\ A relationship where as xxx and zzz increase or decrease, yyy increases or decreases at …
- Given the following definition, determine which type of variation is being described: \\ A relationship where as xxx increases or decreases, yyy will do the opposite. It is not …
- Given the following definition, determine which type of variation is being described: \\ A relationship where yyy varies directly with xxx and inversely with zzz.
- The stopping distance of a vehicle varies inversely with the friction of the road and it varies directly with the speed that the car is traveling at. When the car is traveling a…
- The frequency of a vibrating string varies inversely with twice its length and directly with its wave velocity. If a string that is 8 feet long has a velocity of 160 meters per …
- The volume of a cylinder varies jointly with the height of the cylinder and the square of its radius. The height of a cylinder is 888 inches, the radius is 222 inches, and the v…
- For years chemists tried to create an equation to describe the relationship between a gas molecule and its environment. Eventually they came up with the Ideal Gas Law. This law …
- The Ideal Gas Equation states that pressure, ppp, and volume, vvv, vary jointly with the number of moles of gas, nnn, the temperature, ttt, and the gas constant rrr. Given the f…
- If Kristi dedicates 333 hours to looking this year and her garden has 202020 tomatoes, how many mushrooms can she fit on her pizzas?
- aaa varies jointly with bbb and ccc and inversely with ddd. If a=16a=16a=16 when b=9b=9b=9, c=12c=12c=12, and d=21d=21d=21, what will aaa be when b=45b=45b=45, c=25c=25c=25, and…
- A farmer is building a rectangular pen for his horde of giraffes (there was a deal on Amazon). The number of giraffes he can keep in the pen varies jointly with the area of the …