[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-480950-105":59,"doc-detail-480950-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","examining-ykx-solve-each-problem-answer-key","Examining Y=KX - Solve each problem - Answer Key","","Examining Y=KX is a practice and answer-key set focused on direct variation and cost-rate reasoning. Students solve 10 real-world word problems where totals follow the equation Y=KX (or an equivalent form), including prices per item such as bolts, beads for necklaces, page production rates, earnings from ice cream bars, milk crate costs, popcorn bucket sales, and recycling can money per pound. The answer key provides the final values for each item.",{"@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/examining-ykx-solve-each-problem-answer-key/480950/",{"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/examining-ykx-solve-each-problem-answer-key/480950.png","ImageObject",300,407,{"name":92,"@type":93},"Blitz","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-04","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":19},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What does the equation Y=KX represent in these problems?","Question",{"text":112,"@type":113},"It represents direct variation where Y is the total value and K is the constant rate (value per unit) multiplied by X, the number of units.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do you find the unit cost or unit amount when Y=KX is given?",{"text":117,"@type":113},"Compute K as Y divided by X, then use K to answer questions about one unit (or multiply K by the new X).",{"name":119,"@type":110,"acceptedAnswer":120},"What types of real-world situations appear in the practice problems?",{"text":121,"@type":113},"They include pricing per unit (bolts, milk crates, nails), quantities needed (beads for necklaces, flowers for bouquets), production rates (pages printed), earnings (ice cream bars), and recycling earnings per pound.","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},480950,1792838351,{"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":19,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"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":39},24464137899374,"https://us-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","Examining Y=KX  \nName:  \n\n| Solve each problem.\u003Cbr>1) At the hardware store you can buy 7 boxes of bolts for $28.07. This can be expressed by the equation Y=KX. How much would it cost for one box? |  |  |  |  |  | Answers\u003Cbr>1.   |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | Nancy used the equation Y=KX to determine she would need 56 beads to create 2 necklaces. How many beads did she use per necklace? |  |  |  |  | 2.  \u003Cbr>3.   |  |  |  |  |  |\n| 3) | An industrial printing machine printed 1632 pages in 6 minutes. How much would it have printed in 2 minutes? |  |  |  |  | 4.  \u003Cbr>5.   |  |  |  |  |  |\n| 4) | An ice cream truck driver determined he had made $8.90 after selling 5 ice cream bars (using the equation y=kx) . How much would he have earned if he sold 9 bars? |  |  |  |  | 6.  \u003Cbr>7.   |  |  |  |  |  |\n| 5) | A grocery store paid $266.22 for 6 crates of milk. This can be expressed by the equation Y=KX. How much was it for one crate? |  |  |  |  | 8.  \u003Cbr>9.   |  |  |  |  |  |\n| 6) | A movie theater used Y=(3 . 5)5 to calculate how much money they made selling buckets of popcorn where Y is the total and K is the price per bucket. How much would they make if they sold 3 buckets? |  |  |  |  | 10.   |  |  |  |  |  |\n| 7) | A florist used the equation 126=(14)9 to determine how many flowers she'd need for 9 bouquets. How many flowers would she need for 6 bouquets? |  |  |  |  |  |  |  |  |  |  |\n| 8) | The equation 33.84=(3 .76)9 shows how much money you would make for recycling 9 pounds of cans. How much do you make per pound recycled? |  |  |  |  |  |  |  |  |  |  |\n| 9) | Using the equation 35. 12=k8 you can calculate how much it would cost to buy 8 bags of apples. How much would it cost for 6 bags? |  |  |  |  |  |  |  |  |  |  |\n| 10) | A construction contractor used the equation Y=KX to determine it would cost him $21.06 to buy 9 boxes of nails. How much is each box? |  |  |  |  |  |  |  |  |  |  |\n| 1-10 |  | 90 | 80 | 70 | 60 | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 9)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 9)[ 9](Math www.CommonCoreSheets.com 9)  \nExamining Y=KX  \nName: Answer Key  \n\n| Solve each problem.\u003Cbr>1) At the hardware store you can buy 7 boxes of bolts for $28.07. This can be expressed by the equation Y=KX. How much would it cost for one box? |  |  |  |  |  | Answers\u003Cbr>1.  $4.01  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | Nancy used the equation Y=KX to determine she would need 56 beads to create 2 necklaces. How many beads did she use per necklace? |  |  |  |  | 2.\u003Cbr>3. |  | 28 |  |  |  |  |\n|  |  |  |  |  |  |  |  | 544 |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 3) | An industrial printing machine printed 1632 pages in 6 minutes. How much would it have printed in 2 minutes? |  |  |  |  | 4.\u003Cbr>5. |  | $16.02 |  |  |  |  |\n|  |  |  |  |  |  |  |  | $44.37 |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 4) | An ice cream truck driver determined he had made $8.90 after selling 5 ice cream bars (using the equation y=kx) . How much would he have earned if he sold 9 bars? |  |  |  |  | 6.\u003Cbr>7. |  | $10.50 |  |  |  |  |\n|  |  |  |  |  |  |  |  | 84 |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 5) | A grocery store paid $266.22 for 6 crates of milk. This can be expressed by the equation Y=KX. How much was it for one crate? |  |  |  |  | 8.\u003Cbr>9.\u003Cbr>10. |  | $3.76 |  |  |  |  |\n|  |  |  |  |  |  |  |  | $26.34 |  |  |  |  |\n|  |  |  |  |  |  |  |  | $2.34 |  |  |  |  |\n| 6) | A movie theater used Y=(3 . 5)5 to calculate how much money they made selling buckets of popcorn where Y is the total and K is the price per bucket. How much would they make if they sold 3 buckets? |  |  |  |  |  |  |  |  |  |  |  |\n| 7) | A florist used the equation 126=(14)9 to determine how many flowers she'd need for 9 bouquets. How many f","cbCaiakhOjbUbLf6","https://ap.wps.com/l/cbCaiakhOjbUbLf6","pdf",44247,"English","# Solve each problem\n## Direct variation word problems","[{\"question\":\"What does the equation Y=KX represent in these problems?\",\"answer\":\"It represents direct variation where Y is the total value and K is the constant rate (value per unit) multiplied by X, the number of units.\"},{\"question\":\"How do you find the unit cost or unit amount when Y=KX is given?\",\"answer\":\"Compute K as Y divided by X, then use K to answer questions about one unit (or multiply K by the new X).\"},{\"question\":\"What types of real-world situations appear in the practice problems?\",\"answer\":\"They include pricing per unit (bolts, milk crates, nails), quantities needed (beads for necklaces, flowers for bouquets), production rates (pages printed), earnings (ice cream bars), and recycling earnings per pound.\"}]","Examining Y=KX - Solve each problem - Answer Key | PDF",1790795878]