// Numbas version: exam_results_page_options
{"name": "Line Graphs: Sketching - DNA Melting Temperature", "extensions": ["geogebra"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Line Graphs: Sketching - DNA Melting Temperature", "tags": [], "metadata": {"description": "<p>Practicing skills required for sketching line graphs depicting DNA melting temperature according to the percentage of GC content. The question includes: a) identifying the&nbsp; vertical intercept, b) choosing the accurate sketch from a list, and c) interpreting elements of the sketch in context.&nbsp;</p>", "licence": "None specified"}, "statement": "<p>The melting temperature of DNA, $T$ $^ \\circ$C, depends on the percentage of GC content of the DNA, $G~$%, according to the formula:</p>\n<p>\\[T=\\simplify[fractionNumbers]{{a}G+{b}} \\]</p>\n<p>Sketch the function $T$ for $0\\leq G \\leq \\var{G_max}$&nbsp; and then answer the questions below.</p>", "advice": "<p>a) The vertical axis shows possible values for $T$. In order to find the intersection of the graph with the vertical axis, we need to find the value of $T$ when $G=0$.&nbsp;</p>\n<p>Therefore,&nbsp;</p>\n<p>\\[T=\\simplify[fractionNumbers]{{a}*0+{b}} \\]</p>\n<p>\\[T=\\simplify[!zeroTerm]{{a*0}+{b}} \\]</p>\n<p>\\[T=\\simplify{{a*0}+{b}} \\]</p>\n<p>So, the intersection of the graph with the vertical axis is the point $(0,\\var{b})$.</p>\n<p></p>\n<p>b)&nbsp; We need to consider the gradient of the graph. The gradient here is $\\simplify[fractionNumbers]{{a}}$ which is a positive number. Therefore, the graph is going upwards. We also know that the intersection of the graph with the veritcal axis is $(0,\\var{b})$ from part (a).</p>\n<p>Therefore, our graph should look like the one below:</p>\n<p style=\"text-align: center;\">{geogebra_applet('https://www.geogebra.org/m/a9wf5jjk', defs)}</p>\n<p></p>\n<p>c) The intersection point $(0,\\var{b})$ tells us that when the GC content (G) is $0$, the melting temperature ($T$) is $\\var{b}$.</p>\n<p>So, the correct answer is <em>\"The melting temperature of DNA with 0% GC content\"</em>.</p>", "rulesets": {}, "extensions": ["geogebra"], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"a": {"name": "a", "group": "Ungrouped variables", "definition": "random(1..5)/random(3..9)", "description": "", "templateType": "anything", "can_override": false}, "b": {"name": "b", "group": "Ungrouped variables", "definition": "random(10..15)", "description": "", "templateType": "anything", "can_override": false}, "G_max": {"name": 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