Proportion
Muhtasari
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.
Malengo
- Express direct and inverse proportion in algebraic terms and use this form of expression to find unknown quantities.
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- 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
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Vitabu Vinavyopendekezwa
Jifunze zaidi kutoka vyanzo huria
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Sehemu ya kitabu
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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