Mathematics (US) - 0444 CIE

Direct And Inverse Variation

Akopọ

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.

Awọn Afojusun

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

Akọ̀wé Ẹ̀kọ́

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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Oriire fun ipari ẹkọ lori Direct And Inverse Variation. Ni bayi ti o ti ṣawari naa awọn imọran bọtini ati awọn imọran, o to akoko lati fi imọ rẹ si idanwo. Ẹka yii nfunni ni ọpọlọpọ awọn adaṣe awọn ibeere ti a ṣe lati fun oye rẹ lokun ati ṣe iranlọwọ fun ọ lati ṣe iwọn oye ohun elo naa.

Iwọ yoo pade adalu awọn iru ibeere, pẹlu awọn ibeere olumulo pupọ, awọn ibeere idahun kukuru, ati awọn ibeere iwe kikọ. Gbogbo ibeere kọọkan ni a ṣe pẹlu iṣaro lati ṣe ayẹwo awọn ẹya oriṣiriṣi ti imọ rẹ ati awọn ogbon ironu pataki.

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  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

O wa lori ohun elo Green Bridge

Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.

Awọn akọsilẹ ẹkọ ni kikun pẹlu awọn aworan apejuwe
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O wa lori ohun elo Green Bridge

Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.

Awọn akọsilẹ ẹkọ ni kikun pẹlu awọn aworan apejuwe
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Kọ ẹkọ laisi intanẹẹti, nigbakugba, nibikibi
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