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Problems include annual 2% salary raises, monthly user growth of about 6%, repeated dirt removal with a constant pass percentage, and annual 3% CO2 emission reductions from a 2022 baseline. Students may plot points or sketch exponential functions using provided graphs, with solutions computed using the relevant exponential factors for the specified time spans.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/discrete-exponential-growth-and-decay-solve-each-discrete-exponential-growthdecay-problem/522457/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/discrete-exponential-growth-and-decay-solve-each-discrete-exponential-growthdecay-problem/522457.png","ImageObject",300,407,{"name":92,"@type":93},"Olivia Brown","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":44},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What should you do for each discrete exponential growth/decay problem on this worksheet?","Question",{"text":112,"@type":113},"Solve each problem using the discrete exponential growth or decay model. You may use the provided graph to plot points or sketch the exponential function.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How is the salary after 9 years calculated in Problem 1?",{"text":117,"@type":113},"Apply the 2% annual raise factor repeatedly to the initial salary, using an exponential growth model over 9 years (as shown by the worksheet’s approximation).",{"name":119,"@type":110,"acceptedAnswer":120},"How do you determine remaining dirt after multiple passes in Problem 3?",{"text":121,"@type":113},"Use a discrete decay model where 22% is removed each pass, meaning the remaining fraction is multiplied by itself for the number of passes (as reflected in the worksheet’s computation).","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},522457,1791497212,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":44,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":24,"preview_page_count":4},16904993612988,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","Kuta Software-Infinite Algebra 1  \nDiscrete Exponential Growth and Decay  \nName  Date   Period   \nSolve each discrete exponential growth/decay problem. You may use the provided graph to plot points or sketch the exponential function.  \n1) An employee receives a 2% raise once per year. If the employee's initial salary is $60,000 .00, what will the employee's salary be after 9 years?  \n80000700006000050000 40000 30000 20000  \n10000  \n1 2 3 4 5 6 7 8 9 10 11 year  \n3) A robot vacuum cleans a dirty floor using multiple passes. During each pass, 22% of the dirt is removed. If the floor initially has 530.0 ml of dirt, how much dirt will remain after 10 passes?  \n1 2 3 4 5 6 7 8 9 10 11 12passes  \n2) A new social media site is increasing its user base by approximately 6% per month. If the site currently has 21,740 users, what will the approximate user base be 8 months from now?  \n40000350003000025000 20000 15000 10000  \n5000  \n\n|  users |  |  |  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  |  | |\n|  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |\n\n1 2 3 4 5 6 7 8 9 10 month  \n4) A country pledges to reduce its annual CO₂ emissions by 3% per year. If the emissions in 2022 are 3,030 Mt (metric megatons), what are the maximum allowable emissions in the year 2028?  \n35003000250020001500  \n1000500  \n\n|  CO₂ emissions in Mt |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n\n1 2 3 4 5 6 7 8 yr since 2022  \nKuta Software-Infinite Algebra 1  \nDiscrete Exponential Growth and Decay  \nName  Date   Period   \nSolve each discrete exponential growth/decay problem. You may use the provided graph to plot points or sketch the exponential function.  \n1) An employee receives a 2% raise once per year. If the employee's initial salary is $60,000 .00, what will the employee's salary be after 9 years?  \n80000700006000050000 40000 30000 20000  \n10000  \n1 2 3 4 5 6 7 8 9 10 11 year  \n60000 × 1.029 ≈ $71,705 .55  \n2) A new social media site is increasing its user base by approximately 6% per month. If the site currently has 21,740 users, what will the approximate user base be 8 months from now?  \n1 2 3 4 5 6 7 8 9 10 month  \n21740 × 1.068 ≈ 34,650 users  \n3) A robot vacuum cleans a dirty floor using multiple passes. During each pass, 22% of the dirt is removed. If the floor initially has 530.0 ml of dirt, how much dirt will remain after 10 passes?  \n1 2 3 4 5 6 7 8 9 10 11 12passes  \n530 × 0.7810 ≈ 44.2 ml  \n4) A country pledges to reduce its annual CO₂ emissions by 3% per year. If the emissions in 2022 are 3,030 Mt (metric megatons), what are the maximum allowable emissions in the year 2028?  \n1","cbCaisMJgbnNqzDV","https://ap.wps.com/l/cbCaisMJgbnNqzDV","pdf",120239,"English","# Discrete Exponential Growth and Decay\n## Problem 1: Annual Salary Raise\n## Problem 2: Monthly User Growth\n## Problem 3: Dirt Removal Over Passes\n## Problem 4: CO₂ Emissions Reduction","[{\"question\":\"What should you do for each discrete exponential growth/decay problem on this worksheet?\",\"answer\":\"Solve each problem using the discrete exponential growth or decay model. You may use the provided graph to plot points or sketch the exponential function.\"},{\"question\":\"How is the salary after 9 years calculated in Problem 1?\",\"answer\":\"Apply the 2% annual raise factor repeatedly to the initial salary, using an exponential growth model over 9 years (as shown by the worksheet’s approximation).\"},{\"question\":\"How do you determine remaining dirt after multiple passes in Problem 3?\",\"answer\":\"Use a discrete decay model where 22% is removed each pass, meaning the remaining fraction is multiplied by itself for the number of passes (as reflected in the worksheet’s computation).\"}]","Discrete Exponential Growth and Decay - Solve Each Discrete Exponential Growth/Decay Problem | PDF",1791425804]