Mathematics (US) - 0444 CIE

Direct And Inverse Variation

Gbogbo ọrọ náà

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.

Ebumnobi

  1. Express direct and inverse variation algebraically and use it to find unknown quantities.

Akọmọ Ojú-ẹkọ

Variation is the language of proportion, and proportion runs through science, cooking, currency conversion and engineering. Recognizing whether two quantities vary directly or inversely, and turning that into an equation, lets you predict one quantity from another with confidence.

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Ayẹwo Ẹkọ

Ekele diri gi maka imecha ihe karịrị na Direct And Inverse Variation. 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.

  1. 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
  2. If y = 4x, what is y when x = 5? A. 9 B. 16 C. 20 D. 45 Answer: C
  3. 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
  4. If y = 12/x, what is y when x = 4? A. 3 B. 4 C. 8 D. 48 Answer: A
  5. Which relationship is inverse variation? A. y = kx B. y = k + x C. y = k/x D. y = x/k Answer: C

Ọ dị na ngwa Green Bridge

Budata ngwa Green Bridge CBT na ekwentị maọbụ kọmputa gị iji nweta akwụkwọ ndụmọdụ zuru oke, ajụjụ mmụta, na ndị ọzọ.

Akwụkwọ ndụmọdụ zuru oke nwere eserese
Onye inyeaka mmụta AI
Mụọ n'ụzọ na-enweghị ịntaneti, oge ọbụla, ebe ọbụla
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Ọ dị na ngwa Green Bridge

Budata ngwa Green Bridge CBT na ekwentị maọbụ kọmputa gị iji nweta akwụkwọ ndụmọdụ zuru oke, ajụjụ mmụta, na ndị ọzọ.

Akwụkwọ ndụmọdụ zuru oke nwere eserese
Onye inyeaka mmụta AI
Mụọ n'ụzọ na-enweghị ịntaneti, oge ọbụla, ebe ọbụla
Ọ dị na Android, Windows, macOS, na Linux

Meecha Ajụjụ Ule Ọmarịcha

Ị chọrọ ime ajụjụ ule ọmarịcha gbasara Direct And Inverse Variation? Budata ngwa Green Bridge CBT iji nweta ajụjụ ule ọmarịcha na nyocha zuru ezu gbasara isiokwu a.

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