[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-522567-105":59,"doc-detail-522567-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","kuta-software-infinite-algebra-1-using-statistical-models-worksheets","Kuta Software - Infinite Algebra 1 Using Statistical Models - Worksheets","","Worksheets for Infinite Algebra 1 that apply statistical models to real-world data and interpret functions. Problems cover an oyster population decline with a year-based equation and ask for meaning of the y-intercept. Additional tasks model hurricane measurements relating air pressure to wind speed and require predictions with rounding, plus a marathon performance model linking runner age to time. A final model connects corruption score and GDP per capita, including solving for unknown inputs and outputs.",{"@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/kuta-software-infinite-algebra-1-using-statistical-models-worksheets/522567/",{"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/kuta-software-infinite-algebra-1-using-statistical-models-worksheets/522567.png","ImageObject",300,407,{"name":92,"@type":93},"Theodore","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-12","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":29},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What does the y-intercept represent in the oyster population model?","Question",{"text":112,"@type":113},"It represents the amount of oysters harvested in 1900.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are answers rounded in the hurricane air-pressure and wind-speed questions?",{"text":117,"@type":113},"Wind speed predictions are rounded to the nearest knot, and the air-pressure value found from a wind speed is rounded to the nearest millibar.",{"name":119,"@type":110,"acceptedAnswer":120},"How do you use the corruption score and GDP per capita model to find unknown values?",{"text":121,"@type":113},"Substitute the given corruption score (or GDP per capita) into the model equation and compute the corresponding GDP per capita (or corruption score), rounding to the specified unit.","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},522567,1792876957,{"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":29,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"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":52,"preview_page_count":4},7971461740886,"https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","Kuta Software-Infinite Algebra 1 Using Statistical Models  \nName  Date  Period   \n1) The oyster population of the Chesapeake Bay has been in decline for over 100 years. This can be expressed by the equation y 􀀠 􀀗􀀔􀀑􀀙 􀂘 􀀓􀀑􀀜􀀙􀀜 x where x is the number of years since 1900 and y is the amount of oysters harvested in metric tons.  \nOysters (metric tons)  \n􀀕􀀓 􀀗􀀓 􀀙􀀓 􀀛􀀓  \nYears since 1900  \nWhat does the y-intercept of this function represent?  \n2) The Hurricane Hunters took the following measurements from a hurricane over several days as it developed:  \n\n| Air Pressure (kPa) | Wind Speed (knots) |\n| --- | --- |\n| 924 | 126 |\n| 946 | 104 |\n| 956 | 93.5 |\n| 967 | 84.9 |\n| 991 | 44.4 |\n| 1,003 | 30.6 |\n\nThey found that the air pressure and wind speed are related in the following way: y 􀀠 􀀐􀀔􀀑􀀕􀀗x 􀀎 􀀔􀀕􀀚􀀓 where x is the air pressure in millibars (kPa) and y is the maximum sustained wind speed in knots (nautical miles per hour) .  \nWind Speed (knots)  \n􀀔􀀗􀀓  \n􀀔􀀕􀀓  \n􀀔􀀓􀀓  \n􀀛􀀓  \n􀀙􀀓  \n􀀗􀀓  \n􀀜􀀕􀀓 􀀜􀀙􀀓 􀀔􀀓􀀓􀀓  \nAir Pressure (kPa)  \na) Using the model, what would be the wind speed of a hurricane with an air pressure of 980 kPa? Round your answer to the nearest knot.  \nb) According to the model, a hurricane with an air pressure of 891 kPa would have what wind speed? Round your answer to the nearest knot.  \nc) The model indicates that a wind speed of 110 knots is associated with what air pressure? Round your answer to the nearest millibar.  \n3) The time for the fastest runner for their age in the Marine Corps Marathon is given for several ages:  \n\n| Age | Time (minutes) |\n| --- | --- |\n| 17 | 196 |\n| 30 | 149 |\n| 35 | 149 |\n| 47 | 174 |\n| 50 | 173 |\n| 55 | 182 |\n\nThis can be modeled by the equation  \ny 􀀠 􀀓􀀑􀀔􀀔􀀔 x 􀀕 􀀐 􀀛􀀑􀀔 x 􀀎 􀀕􀀜􀀜 where x is the age and y is the number of minutes taken.  \nTime (minutes)  \n􀀔􀀓 􀀕􀀓 􀀖􀀓 􀀗􀀓 􀀘􀀓  \nAge (years)  \na) Using this model, what would be the time for the fastest 41-year-old? Round your answer to the nearest hundredth.  \nb) According to the model, what would be the time for the fastest 83-year-old? Round your answer to the nearest hundredth.  \nc) What age(s) correspond to a time of 171 minutes? Round your answer(s) to the nearest tenth.  \n4) Economists have found that the amount of corruption in a country is correlated to the productivity of that country. Productivity is measured by gross domestic product (GDP) per capita. Corruption is measured on a scale from 0 to 100 with 0 being highly corrupt and 100 being least corrupt:  \n\n| Corruption Score | GDP Per Capita ($) |\n| --- | --- |\n| 18 | 2,850 |\n| 24 | 4,050 |\n| 33 | 3,740 |\n| 45 | 10,100 |\n| 60 | 25,000 |\n| 65 | 25,000 |\n\nThis can be modeled by the equation y 􀀠 􀀘􀀕􀀘 x 􀀐 􀀜􀀙􀀗􀀓 where x is the corruption score and y is GDP per capita in dollars.  \nGDP Per Capita ($)  \n􀀔􀀓 􀀕􀀓 􀀖􀀓 􀀗􀀓 􀀘􀀓 􀀙􀀓  \nCorruption Score  \na) According to the model, what would be the GDP per capita of a country with a corruption score of 38? Round your answer to the nearest dollar.  \nb) Using this model, a country with a corruption score of 75 would have what GDP per capita? Round your answer to the nearest dollar.  \nc) A GDP per capita of $17,000 corresponds to what corruption score, according to the model? Round your answer to the nearest whole number.  \nKuta Software-Infinite Algebra 1 Using Statistical Models  \nName  Date  Period   \n1) The oyster population of the Chesapeake Bay has been in decline for over 100 years. This can be expressed by the equation y 􀀠 􀀗􀀔􀀑􀀙 􀂘 􀀓􀀑􀀜􀀙􀀜 x where x is the number of years since 1900 and y is the amount of oysters harvested in metric tons.  \nOysters (metric tons)  \n􀀕􀀓 􀀗􀀓 􀀙􀀓 􀀛􀀓  \nYears since 1900  \nWhat does the y-intercept of this function represent?  \nThe amount of oysters harvested in 1900  \n2) The Hurricane Hunters took the following measurements from a hurricane over several days as it developed:  \n\n| Air Pressure (kPa) | Wind Speed (knots) |\n| --- | --- |\n| 924 | 126 |\n| 946 | 104 |\n| 956 | 93.5 |\n| 967 | 84.9 |\n| 991 | 44.4 |\n| 1,003 | 30.6 |\n\nThey found that the air press","cbCaifcwRfrOghgG","https://ap.wps.com/l/cbCaifcwRfrOghgG","pdf",40747,"English","# Oyster population model\n## Function y-intercept meaning\n# Hurricane pressure and wind speed model\n## Predict wind speed from pressure\n## Predict pressure from wind speed\n# Marathon runner time model\n## Predict time from age\n## Find age(s) for a target time\n# Corruption and GDP model\n## Predict GDP per capita from corruption score\n## Predict corruption score from GDP per capita","[{\"question\":\"What does the y-intercept represent in the oyster population model?\",\"answer\":\"It represents the amount of oysters harvested in 1900.\"},{\"question\":\"How are answers rounded in the hurricane air-pressure and wind-speed questions?\",\"answer\":\"Wind speed predictions are rounded to the nearest knot, and the air-pressure value found from a wind speed is rounded to the nearest millibar.\"},{\"question\":\"How do you use the corruption score and GDP per capita model to find unknown values?\",\"answer\":\"Substitute the given corruption score (or GDP per capita) into the model equation and compute the corresponding GDP per capita (or corruption score), rounding to the specified unit.\"}]","Kuta Software - Infinite Algebra 1 Using Statistical Models - Worksheets | PDF",1791425924]