Direct And Inverse Variation
Bayani Gaba-gaba
Some quantities rise and fall together: drive twice as long at a steady speed and you cover twice the distance. Others move in opposite directions: double the number of workers and a job takes half the time. These two patterns, direct and inverse variation, capture an enormous range of everyday relationships in a single, simple equation.
In this lesson you will write direct and inverse variation algebraically, find the constant of variation from given information, and use the resulting equation to find unknown quantities. The key is the constant: once you have it, the whole relationship is fixed.
Manufura
- Express direct and inverse variation algebraically and use it to find unknown quantities.
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Nazarin Darasi
Barka da kammala darasi akan Direct And Inverse Variation. Yanzu da kuka bincika mahimman ra'ayoyi da ra'ayoyi, lokaci yayi da zaku gwada ilimin ku. Wannan sashe yana ba da ayyuka iri-iri Tambayoyin da aka tsara don ƙarfafa fahimtar ku da kuma taimaka muku auna fahimtar ku game da kayan.
Za ka gamu da haɗe-haɗen nau'ikan tambayoyi, ciki har da tambayoyin zaɓi da yawa, tambayoyin gajeren amsa, da tambayoyin rubutu. Kowace tambaya an ƙirƙira ta da kyau don auna fannoni daban-daban na iliminka da ƙwarewar tunani mai zurfi.
Yi wannan ɓangaren na kimantawa a matsayin wata dama don ƙarfafa fahimtarka kan batun kuma don gano duk wani yanki da kake buƙatar ƙarin karatu. Kada ka yanke ƙauna da duk wani ƙalubale da ka fuskanta; maimakon haka, ka kallesu a matsayin damar haɓaka da ingantawa.
- If y varies directly as x and y = 12 when x = 3, what is the constant of variation? A. 3 B. 4 C. 9 D. 36 Answer: B
- If y = 4x, what is y when x = 5? A. 9 B. 16 C. 20 D. 45 Answer: C
- If y varies inversely as x and y = 6 when x = 2, the constant is: A. 3 B. 8 C. 12 D. 4 Answer: C
- If y = 12/x, what is y when x = 4? A. 3 B. 4 C. 8 D. 48 Answer: A
- Which relationship is inverse variation? A. y = kx B. y = k + x C. y = k/x D. y = x/k Answer: C
Yi aikin wadannan tambayoyi a cikin manhaja
Yi aikin wadannan tambayoyi a cikin manhaja
Littattafan da ake ba da shawarar karantawa
Ƙarin koyo daga tushe na buɗe
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Sashen littafi
Use Direct and Inverse Variation
Solve direct variation problems
"Elementary Algebra: Use Direct and Inverse Variation" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/elementary-algebra/pages/8-9-use-direct-and-inverse-variation. Access for free at https://openstax.org/books/elementary-algebra/pages/1-introduction
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