cId":"52dc060a-dab9-4c61-b43d-0d4a4520ef43","topicSlug":"models-in-context","cards":[{"id":"5625868b-88e2-4eb5-b360-12f98800a7e9","cardType":"cloze","front":"A mathematical model represents selected features of a real-world situation using [ ].","back":"A mathematical model represents selected features of a real-world situation using variables, functions and mathematical relationships.","points":null,"mcqOptions":null},{"id":"85d9cb28-b842-42aa-943d-f0d7979a00a0","cardType":"cloze","front":"The [ ] is the input chosen or measured.","back":"The independent variable is the input chosen or measured.","points":null,"mcqOptions":null},{"id":"e5c843ad-ad28-4398-ae4f-fcd1c36008e6","cardType":"cloze","front":"The [ ] changes according to the input.","back":"The dependent variable changes according to the input.","points":null,"mcqOptions":null},{"id":"17d48b05-c64a-47de-8c8e-da8155184fba","cardType":"basic","front":"In $C(n)=2.50+0.80n$, what does 2.50 represent?","back":"The fixed starting charge of £2.50.","points":1,"mcqOptions":null},{"id":"478a2217-3cae-4e45-bef5-7c16902f62ed","cardType":"basic","front":"In $C(n)=2.50+0.80n$, what does 0.80 represent?","back":"The cost increases by £0.80 per mile.","points":1,"mcqOptions":null},{"id":"0a827183-502b-43ae-9483-fb8e977d3051","cardType":"basic","front":"What behaviour indicates that a linear model may be suitable?","back":"A constant rate of change.","points":1,"mcqOptions":null},{"id":"62c8b783-59b5-4925-85a8-c69baf2bbaea","cardType":"basic","front":"What real-world feature can a quadratic turning point represent?","back":"A maximum or minimum, such as maximum profit.","points":1,"mcqOptions":null},{"id":"624d034c-0c39-4385-b04c-f8591524d02d","cardType":"cloze","front":"An exponential model represents repeated [ ] change.","back":"An exponential model represents repeated proportional change.","points":null,"mcqOptions":null},{"id":"50a54e7d-3f76-425d-8599-b76fce6cb357","cardType":"basic","front":"For $y=Ae^{kx}$, what behaviour occurs when $k<0$?","back":"Exponential decay.","points":1,"mcqOptions":null},{"id":"2c6cead1-cbc6-4da9-9c24-0835972edcdc","cardType":"basic","front":"The model $P(t)=800e^{0.06t}$ gives $P(10)\\approx1457.7$. What contextual prediction should be reported?","back":"Approximately 1458 individuals.","points":1,"mcqOptions":null},{"id":"26ca9c5b-4763-4750-b676-68210f00d8e3","cardType":"basic","front":"Why may a model's contextual domain be smaller than its mathematical domain?","back":"Some inputs are impossible or outside the model's tested range.","points":2,"mcqOptions":null},{"id":"07e6c4cd-29ba-490b-b3a3-8f65f51500eb","cardType":"basic","front":"For $h(t)=1.5+12t-4.9t^2$, the ground is reached at $t\\approx-0.119$ or $2.568$. What is the physical domain?","back":"$0\\leq t\\leq2.568$.","points":1,"mcqOptions":null},{"id":"13bf396e-2cfc-44d5-8c17-17a7e2dc01b6","cardType":"cloze","front":"Estimating within the observed data range is [ ], whereas predicting beyond it is extrapolation.","back":"Estimating within the observed data range is interpolation, whereas predicting beyond it is extrapolation.","points":null,"mcqOptions":null},{"id":"ffe7baf6-a15b-44c7-962b-ec3397940a39","cardType":"cloze","front":"Estimating within the observed data range is interpolation, whereas predicting beyond it is [ ]

1.2.26 Models in context Flashcards

1.2.26 Models in context Flashcards