Exponential Growth And Decay
Bayani Gaba-gaba
When a quantity grows or shrinks by the same percentage again and again, it changes exponentially: slowly at first, then dramatically. Savings with compound interest, a growing population and a depreciating car all follow this pattern, and the same compact formula describes them all.
In this lesson (Extended tier) you will model exponential growth and decay using a repeated percentage change, and use the formula to find a value after a number of steps.
Manufura
- Use exponential growth and decay.
Darasin Sauti
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Takardar Darasi
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Nazarin Darasi
Barka da kammala darasi akan Exponential Growth And Decay. Yanzu da kuka bincika mahimman ra'ayoyi da ra'ayoyi, 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.
- A population of 5000 grows by 8% per year. Which expression gives the population after 3 years? A. 5000 x 3 x 1.08 B. 5000 x 1.08^3 C. 5000 x 0.08^3 D. 5000 + 1.08^3 Answer: B
- A car worth $12 000 loses 15% of its value each year. What multiplier is used? A. 0.15 B. 0.85 C. 1.15 D. 1.85 Answer: B
- $2000 grows at 5% per year compound. Its value after 2 years is: A. $2100 B. $2200 C. $2205 D. $2210 Answer: C
- A quantity decays by 10% per step. After 2 steps a value of 100 becomes: A. 80 B. 81 C. 90 D. 100 Answer: B
- Exponential growth means a quantity changes by: A. the same amount each step B. the same percentage each step C. a decreasing amount D. a random amount Answer: B
Yi aikin wadannan tambayoyi a cikin manhaja
Yi aikin wadannan tambayoyi a cikin manhaja
Littattafan da ake ba da shawarar karantawa
Ƙarin koyo daga tushe na buɗe
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Sashen littafi
Exponential and Logarithmic Models
Model exponential growth and decay.
"Algebra and Trigonometry: Exponential and Logarithmic Models" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/algebra-and-trigonometry/pages/6-7-exponential-and-logarithmic-models. Access for free at https://openstax.org/books/algebra-and-trigonometry/pages/1-introduction
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Kana son yin aikin tambayoyin gwaji kan Exponential Growth And Decay? Sauke manhajar Green Bridge CBT don samun tambayoyin gwaji da cikakkun jarrabawa akan wannan batu.
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