{"id":1255,"date":"2021-05-17T19:25:09","date_gmt":"2021-05-17T23:25:09","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/?post_type=chapter&#038;p=1255"},"modified":"2021-06-29T19:00:03","modified_gmt":"2021-06-29T23:00:03","slug":"videos-linear-functions-and-costs","status":"web-only","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/chapter\/videos-linear-functions-and-costs\/","title":{"raw":"Videos: Linear Functions and Costs","rendered":"Videos: Linear Functions and Costs"},"content":{"raw":"<h2>What is a Linear Equation?<\/h2>\r\n[embed]https:\/\/youtu.be\/u_BUwBqTbLg[\/embed]\r\n<ol>\r\n \t<li>You\u2019re concerned about your cell phone bill for this month and you can\u2019t remember how your plan actually works. You have been careful to keep track of how much data used each month and this month you have used 160 Mb. Using the payment information from your on-line banking you compile the following:<\/li>\r\n<\/ol>\r\n<div align=\"center\">\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>Month<\/strong><\/td>\r\n<td><strong>Mb of Data used<\/strong><\/td>\r\n<td><strong>Amount paid<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>June<\/td>\r\n<td>120<\/td>\r\n<td>$40<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>July<\/td>\r\n<td>80<\/td>\r\n<td>$30<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>August<\/td>\r\n<td>200<\/td>\r\n<td>$60<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n&nbsp;\r\n<ol type=\"a\">\r\n \t<li>What is the independent variable and what is the dependent variable?<\/li>\r\n \t<li>Use a graph to determine the amount of your cell phone bill for this month.[embed]https:\/\/youtu.be\/hskFVwxQsJM[\/embed]<\/li>\r\n \t<li>Determine the slope of the line in the graph and describe the slope in the words of the problem.[embed]https:\/\/youtu.be\/KpHmhlkkIPc[\/embed]<\/li>\r\n \t<li>If you don\u2019t use your cell phone at all for the month of October, how much will you have to pay?<\/li>\r\n \t<li>Determine the equation of the line in the graph.\u00a0 Verify your answers from (b) and (d)[embed]https:\/\/youtu.be\/9-FSJ8Dgjvo[\/embed]<\/li>\r\n \t<li>Another company offers a cell phone plan that costs $20 per month and then charges $0.15 per Mb. Determine the cost equation and graph it using the same grid.<\/li>\r\n \t<li>If you use 175 Mb, which plan is cheaper and by how much?<\/li>\r\n \t<li>Use the equations to determine the number of Mb that result in the same cost for both plans.<\/li>\r\n<\/ol>\r\n[embed]https:\/\/youtu.be\/QjOV9lBPFmI[\/embed]\r\n\r\n&nbsp;\r\n\r\n2. Baby Sitters R Us charges a flat booking fee plus an hourly rate.\u00a0 On a normal workday, I hire a Sitter for 9 hours, and I pay $123.50.\u00a0 On Saturday night, I usually hire a sitter for 4 hours while I go to the movies, and I pay $66.\r\n<ol type=\"a\">\r\n \t<li>Find a linear equation giving cost in terms of the number of hours.<\/li>\r\n \t<li>Describe the slope in the words of the problem.<\/li>\r\n \t<li>\u00a0If I hire a sitter for 6 hours, how much will it cost me?<\/li>\r\n<\/ol>\r\n[embed]https:\/\/youtu.be\/D7-NmlxoXjg[\/embed]","rendered":"<h2>What is a Linear Equation?<\/h2>\n<p><iframe loading=\"lazy\" id=\"oembed-1\" title=\"Business Math Lesson 5: Costs and Lines, part 1\" width=\"500\" height=\"375\" src=\"https:\/\/www.youtube.com\/embed\/u_BUwBqTbLg?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<ol>\n<li>You\u2019re concerned about your cell phone bill for this month and you can\u2019t remember how your plan actually works. You have been careful to keep track of how much data used each month and this month you have used 160 Mb. Using the payment information from your on-line banking you compile the following:<\/li>\n<\/ol>\n<div style=\"margin: auto;\">\n<table>\n<tbody>\n<tr>\n<td><strong>Month<\/strong><\/td>\n<td><strong>Mb of Data used<\/strong><\/td>\n<td><strong>Amount paid<\/strong><\/td>\n<\/tr>\n<tr>\n<td>June<\/td>\n<td>120<\/td>\n<td>$40<\/td>\n<\/tr>\n<tr>\n<td>July<\/td>\n<td>80<\/td>\n<td>$30<\/td>\n<\/tr>\n<tr>\n<td>August<\/td>\n<td>200<\/td>\n<td>$60<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p>&nbsp;<\/p>\n<ol type=\"a\">\n<li>What is the independent variable and what is the dependent variable?<\/li>\n<li>Use a graph to determine the amount of your cell phone bill for this month.<iframe loading=\"lazy\" id=\"oembed-2\" title=\"Business Math Lesson 5: Costs and Lines, part 2\" width=\"500\" height=\"375\" src=\"https:\/\/www.youtube.com\/embed\/hskFVwxQsJM?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/li>\n<li>Determine the slope of the line in the graph and describe the slope in the words of the problem.<iframe loading=\"lazy\" id=\"oembed-3\" title=\"Business Math Lesson 5: Costs and Lines, part 3\" width=\"500\" height=\"375\" src=\"https:\/\/www.youtube.com\/embed\/KpHmhlkkIPc?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/li>\n<li>If you don\u2019t use your cell phone at all for the month of October, how much will you have to pay?<\/li>\n<li>Determine the equation of the line in the graph.\u00a0 Verify your answers from (b) and (d)<iframe loading=\"lazy\" id=\"oembed-4\" title=\"Business Math Lesson 5: Costs and Lines, part 4\" width=\"500\" height=\"375\" src=\"https:\/\/www.youtube.com\/embed\/9-FSJ8Dgjvo?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/li>\n<li>Another company offers a cell phone plan that costs $20 per month and then charges $0.15 per Mb. Determine the cost equation and graph it using the same grid.<\/li>\n<li>If you use 175 Mb, which plan is cheaper and by how much?<\/li>\n<li>Use the equations to determine the number of Mb that result in the same cost for both plans.<\/li>\n<\/ol>\n<p><iframe loading=\"lazy\" id=\"oembed-5\" title=\"Business Math Lesson 5: Costs and Lines, part 5\" width=\"500\" height=\"375\" src=\"https:\/\/www.youtube.com\/embed\/QjOV9lBPFmI?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p>&nbsp;<\/p>\n<p>2. Baby Sitters R Us charges a flat booking fee plus an hourly rate.\u00a0 On a normal workday, I hire a Sitter for 9 hours, and I pay $123.50.\u00a0 On Saturday night, I usually hire a sitter for 4 hours while I go to the movies, and I pay $66.<\/p>\n<ol type=\"a\">\n<li>Find a linear equation giving cost in terms of the number of hours.<\/li>\n<li>Describe the slope in the words of the problem.<\/li>\n<li>\u00a0If I hire a sitter for 6 hours, how much will it cost me?<\/li>\n<\/ol>\n<p><iframe loading=\"lazy\" id=\"oembed-6\" title=\"Business Math Lesson 5: Costs and Lines, part 6\" width=\"500\" height=\"375\" src=\"https:\/\/www.youtube.com\/embed\/D7-NmlxoXjg?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n","protected":false},"author":883,"menu_order":5,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-1255","chapter","type-chapter","status-web-only","hentry"],"part":40,"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/pressbooks\/v2\/chapters\/1255","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/wp\/v2\/users\/883"}],"version-history":[{"count":2,"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/pressbooks\/v2\/chapters\/1255\/revisions"}],"predecessor-version":[{"id":3460,"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/pressbooks\/v2\/chapters\/1255\/revisions\/3460"}],"part":[{"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/pressbooks\/v2\/parts\/40"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/pressbooks\/v2\/chapters\/1255\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/wp\/v2\/media?parent=1255"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/pressbooks\/v2\/chapter-type?post=1255"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/wp\/v2\/contributor?post=1255"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/wp\/v2\/license?post=1255"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}