// Numbas version: exam_results_page_options
{"name": "TP7", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"preamble": {"js": "", "css": ""}, "parts": [{"variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "prompt": "<p>$S = $ [[0]]</p>\n<p></p>", "scripts": {}, "unitTests": [], "showFeedbackIcon": true, "variableReplacements": [], "marks": 0, "gaps": [{"answer": "({b}*V)/({a}-V)", "variableReplacementStrategy": "originalfirst", "expectedVariableNames": [], "showCorrectAnswer": true, "checkingAccuracy": 0.001, "scripts": {}, "failureRate": 1, "vsetRange": [0, 1], "vsetRangePoints": 5, "unitTests": [], "showFeedbackIcon": true, "variableReplacements": [], "marks": "5", "showPreview": true, "checkingType": "absdiff", "extendBaseMarkingAlgorithm": true, "checkVariableNames": false, "customMarkingAlgorithm": "", "type": "jme"}], "sortAnswers": false, "extendBaseMarkingAlgorithm": true, "customMarkingAlgorithm": "", "type": "gapfill"}], "tags": [], "functions": {}, "advice": "<p>Start by multiplying both sides by the denominator.</p>\n<p>For example&nbsp;if you have $V=\\frac{5S}{S+12}$ then multiply both sides by $(S+12)$.</p>\n<p>This gives: &nbsp;$V \\color{red}{(S+12)}=\\frac{5S}{S+12} \\color{red}{(S+12)} $</p>\n<p>The $(S+12)$ terms on the right hand side cancel out to give: $V(S+12)=5S$</p>\n<p>Now expand out the brackets on the left hand side: &nbsp;$\\color{red}{VS+12V}=5S$</p>\n<p>Next&nbsp;collect the like terms, you want to get all the terms with $S$ in them onto one side, so subtract $VS$ from both sides:</p>\n<p>$VS \\color{red}{-VS} + 12V=5S \\color{red}{-VS}$</p>\n<p>This becomes $12V=5S-VS$</p>\n<p>Now you can factorise the right hand side: $12V=\\color{red}{S(5-V)}$</p>\n<p>Finally divide both sides by $(5-V)$ to leave $S$ on its own: $\\frac{12V}{\\color{red}{5-V}}=S$</p>\n<p></p>", "rulesets": {}, "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "<p>rearranging the Michelas-Menten equation to make the substrate the subject.</p>\n<p>rebelmaths</p>"}, "name": "TP7", "variablesTest": {"maxRuns": 100, "condition": ""}, "extensions": [], "variables": {"a": {"name": "a", "templateType": "anything", "definition": "random(2..8)", "description": "", "group": "Ungrouped variables"}, "b": {"name": "b", "templateType": "anything", "definition": "random(5..16)", "description": "", "group": "Ungrouped variables"}}, "statement": "<p>Rearrange the following equation to make $S$ the subject:</p>\n<p></p>\n<p>\\[ V=\\frac{\\var{a}S}{S+\\var{b}}\\]</p>\n<p></p>\n<p>Note: To write a fraction you type (numerator)/(denominator).</p>", "variable_groups": [], "ungrouped_variables": ["a", "b"], "type": "question", "contributors": [{"name": "Julie Crowley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/113/"}, {"name": "Clodagh Carroll", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/384/"}]}]}], "contributors": [{"name": "Julie Crowley", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/113/"}, {"name": "Clodagh Carroll", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/384/"}]}