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Bayani Gaba-gaba

Proportion describes how two quantities change together. In direct proportion, doubling one doubles the other; in inverse proportion, doubling one halves the other. Writing these relationships with algebra lets you find any unknown value precisely.

In this lesson (Extended tier) you will express direct and inverse proportion in algebraic form, find the constant of proportionality, and use the relationship to calculate unknown quantities.

Nazarin Darasi

Barka da kammala darasi akan Proportion. Yanzu da kuka bincika mahimman raayoyi da raayoyi, 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.

y is directly proportional to x, and y = 12 when x = 3. Find k. A. 4 B. 9 C. 15 D. 36 Answer: A
Using y = 4x, find y when x = 7. A. 11 B. 21 C. 28 D. 47 Answer: C
y is inversely proportional to x, and y = 6 when x = 2. Find k. A. 3 B. 4 C. 8 D. 12 Answer: D
Using y = 12/x, find y when x = 4. A. 3 B. 4 C. 8 D. 48 Answer: A
In inverse proportion, as x increases, y: A. increases B. decreases C. stays the same D. doubles Answer: B