Proportion
Gbogbo ọrọ náà
Two quantities are in proportion when they grow or shrink together in a fixed way. Double the recipe and you double every ingredient; share a job among more workers and it takes less time each. Recognising and writing these relationships lets you predict one quantity from another with a single constant.
In this lesson you will express direct and inverse proportion in algebra, find the constant of proportionality and use it to find unknown values. You will also learn to look at a table of data and decide which model fits best, whether the link is direct, inverse, or based on a square.
Ebumnobi
- Express direct and inverse proportion in algebraic terms and use this form of expression to find unknown quantities.
- Identify the best variation model for given data.
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Maapụ uche
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Akwụkwọ Ọmụmụ
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Nnyocha Ọmụmụ
Ekele diri gi maka imecha ihe karịrị na Proportion. Ugbu a na ị na-enyochakwa isi echiche na echiche ndị dị mkpa, ọ bụ oge iji nwalee ihe ị ma. Ngwa a na-enye ụdị ajụjụ ọmụmụ dị iche iche emebere iji kwado nghọta gị wee nyere gị aka ịmata otú ị ghọtara ihe ndị a kụziri.
Ị ga-ahụ ngwakọta nke ụdị ajụjụ dị iche iche, gụnyere ajụjụ chọrọ ịhọrọ otu n’ime ọtụtụ azịza, ajụjụ chọrọ mkpirisi azịza, na ajụjụ ede ede. A na-arụpụta ajụjụ ọ bụla nke ọma iji nwalee akụkụ dị iche iche nke ihe ọmụma gị na nkà nke ịtụgharị uche.
Jiri akụkụ a nke nyocha ka ohere iji kụziere ihe ị matara banyere isiokwu ahụ ma chọpụta ebe ọ bụla ị nwere ike ịchọ ọmụmụ ihe ọzọ. Ekwela ka nsogbu ọ bụla ị na-eche ihu mee ka ị daa mba; kama, lee ha anya dị ka ohere maka ịzụlite onwe gị na imeziwanye.
- y is directly proportional to x, and y = 12 when x = 3. What is y when x = 5? A. 15 B. 20 C. 24 D. 60 Answer: B
- y is inversely proportional to x, and y = 6 when x = 2. What is y when x = 4? A. 2 B. 3 C. 8 D. 12 Answer: B
- For a direct proportion y = kx, which quantity stays constant? A. x y B. y/x C. y/x^2 D. x + y Answer: B
- For data with x: 1, 2, 3 and y: 3, 12, 27, which model fits? A. y = 3x B. y = 3/x C. y = 3x^2 D. y = x + 2 Answer: C
- Which describes inverse proportion? A. y increases as x increases at a constant rate B. y decreases as x increases, with xy constant C. y equals x squared D. y is always equal to x Answer: B
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Akwụkwọ A Na-atụ Aro
Mụtakwuo ihe site na isi mmalite mepere emepe
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Akụkụ akwụkwọ
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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Meecha Ajụjụ Ule Ọmarịcha
Ị chọrọ ime ajụjụ ule ọmarịcha gbasara Proportion? Budata ngwa Green Bridge CBT iji nweta ajụjụ ule ọmarịcha na nyocha zuru ezu gbasara isiokwu a.
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