planation":null,"firstAttemptFullMarks":null},{"id":"a4333a4f-f9cf-4f69-adea-77dd294c377c","revisionId":"b1645ec2-1471-49ce-8aa6-c2410f5dcd16","questionNumber":null,"questionType":"LA","specification":"The graph below shows the cumulative volume of water absorbed by a leafy shoot in a potometer over a 5-hour period between 10:00 and 15:00.\n\n![Cumulative volume of water absorbed by a leafy shoot](https://assets.mathsgenie.co.uk/aqa-qb/87f1064a-84d5-41e7-9fe2-d59d0062fc37.png)","difficulty":7,"difficultyBand":"medium","totalMarks":5,"sourceTitle":null,"calculatorUse":null,"parts":[{"id":"b777d6b3-0778-4e55-a37a-31285361a6b5","label":null,"content":"Determine the rate of water absorption at 13:00 using the tangent line shown.\n\nGive your answer:\n- in \$\\text{cm}^3\\text{ per minute}\$\n- in standard form.","markscheme":"- Identifies the coordinates of the two endpoints on the tangent line as $(10\\text{:00}, 45\\text{ cm}^3)$ and $(15\\text{:00}, 87\\text{ cm}^3)$ M1\n- Calculates the change in volume: $\\Delta y = 87 - 45 = 42\\text{ cm}^3$ M1\n- Calculates the change in time in minutes: $\\Delta t = 5\\text{ hours} \\times 60\\text{ minutes/hour} = 300\\text{ minutes}$ M1\n- Calculates the rate: $\\frac{42}{300} = 0.14\\text{ cm}^3\\text{ per minute}$ A1\n- Converts the rate to standard form: $1.4 \\times 10^{-1}$ A1","marks":5,"order":0,"markingRubric":null,"explanation":{"methods":[{"id":"tangent_gradient","label":"Find the tangent gradient","steps":[{"type":"text","order":0,"title":"Read the tangent endpoints","content":"A tangent gives the **instantaneous rate** at the point where it touches the curve, here at $13\\text{:}00$. Use two points on the **tangent line itself**, choosing points far apart for a more reliable reading:\n\n$$\n(10\\text{:}00,\\ 45\\ \\text{cm}^3)\\quad\\text{and}\\quad(15\\text{:}00,\\ 87\\ \\text{cm}^3).\n$$\n\nIdentifying these two coordinates earns **M1**.","highlights":[{"text":"using the tangent line shown","location":"specification"}]},{"type":"hyper_latex","block":{"nodes":[{"latex":"\\Delta y=\\htmlData{anchor=subtraction}{\\color{@sky}{87\\ \\mathrm{cm}^{3}}-\\color{@orange}{45\\ \\mathrm{cm}^{3}}}"},{"latex":"\\Delta y=\\htmlData{anchor=result}{\\color{@green}{42\\ \\mathrm{cm}^{3}}}"}],"highlights":[{"color":"sky","style":"text-color","anchor":"subtraction"},{"color":"green","style":"text-color","anchor":"result"}],"connections":[{"to":"result","from":"subtraction","color":"green","label":"subtract volumes","style":"solid"}]},"order":1,"title":"Find the volume change","description":"The vertical change is the later volume minus the earlier volume. Calculating 87 - 45 = 42 cm³ earns M1."},{"type":"text","order":2,"title":"Convert the time","content":"The tangent runs from $10\\text{:}00$ to $15\\text{:}00$, which is $5$ hours. The required unit is **per minute**, so convert before calculating the gradient:\n\n$$\n\\Delta t=5\\ \\text{hours}\\times 60\\ \\text{minutes per hour}=300\\ \\text{minutes}.\n$$\n\nThis conversion earns **M1**.","highlights":[{"text":"in \$\\text{cm}^3\\text{ per minute}\$","location":"specification"}]},{"type":"hyper_latex","block":{"nodes":[{"latex":"\\mathrm{rate}=\\frac{\\htmlData{anchor=volume}{\\color{@sky}{42\\ \\mathrm{cm}^{3}}}}{\\htmlData{anchor=time}{\\color{@orange}{300\\ \\mathrm{minutes}}}}"},{"latex":"\\mathrm{rate}=\\htmlData{anchor=rate}{\\color{@green}{0.14\\ \\mathrm{cm}^{3}\\ \\mathrm{per\\ minute}}}"}],"highlights":[{"color":"sky","style":"text-color","anchor":"volume"},{"color":"orange","style":"text-color","anchor":"time"},{"color":"green","style":"text-color","anchor":"rate"}],"connections":[{"to":"rate","from":"volume","color":"green","label":"divide","style":"solid"}]},"order":3,"title":"Calculate the gradient","description":"Rate is the gradient: change in volume divided by change in time. Dividing 42 by 300 to obtain 0.14 cm³ per minute earns A1."},{"type":"hyper_latex","block":{"nodes":[{"latex":"\\htmlData{anchor=decimal}{\\color{@sky}{0.14\\ \\m

2.3 Plant tissues, organs and systems

Question 12

2.3 Plant tissues, organs and systems Questions

2.3 Plant tissues, organs and systems

Question 12

2.3 Plant tissues, organs and systems Questions