Lesson 2.11.1
2.11.1 Functions in modelling Quiz: Pearson Edexcel Maths, Unit 2
20 questions
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Lesson 2.11.1, Functions in modelling: 20 multiple choice questions for the Pearson Edexcel Maths (9MA0), Unit 2: Algebra and functions, written with Revision Ninja.
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The 20 questions
-
What does a horizontal asymptote represent in a long-term population growth model?
- Initial population
- Maximum growth rate
- Carrying capacity
- Time limit
-
Which function type is most suitable for modelling uninhibited population growth over time?
- Polynomial
- Exponential
- Quadratic
- Linear
-
In a mathematical model, what does the y-intercept typically represent when time t equals zero?
- Asymptote
- Final value
- Initial value
- Gradient
-
What mathematical transformation is used to linearise an exponential model of the form y = ab^x?
- Integration
- Rationalisation
- Differentiation
- Logarithms
-
When fitting a polynomial model to experimental data, what determines the maximum number of turning points?
- The y-intercept
- Leading coefficient
- Degree minus one
- Degree plus one
-
What does a negative value for the growth constant k signify in an exponential decay model?
- Increasing quantity
- Constant quantity
- Zero quantity
- Decreasing quantity
-
Which trigonometric function is best suited for modelling repeating seasonal temperature variations?
- Reciprocal
- Polynomial
- Sine
- Modulus
-
What does the gradient of a linear distance-time model represent in physics and applied maths?
- Constant speed
- Initial position
- Total distance
- Acceleration
-
A model gives the population P = 500e^(0.05t). What is the initial population at t = 0?
- 500
- 25
- e
- 0.05
-
If C = 200 + 50t models cost, what does the constant term 200 represent?
- Variable cost
- Fixed costs
- Total profit
- Unit price
-
A cooling liquid follows T = 20 + 80e^(-0.1t). What is the ambient room temperature?
- 0
- 100
- 20
- 80
-
If V = 1000 - 40t represents tank volume, after how many minutes is the tank empty?
- 1000
- 25
- 50
- 40
-
A bacterial culture doubles every 3 hours. What is the hourly growth factor b?
- 6
- 2^(1/3)
- 2
- 3/2
-
If log10(y) = 2x + 1, express y in terms of x without logarithms.
- 10^2x + 1
- 10^(2x + 1)
- 2x + 10
- 2x + 1
-
What is the implied domain for a time variable t in real-world growth models?
- All reals
- t >= 0
- t > 0
- t <= 0
-
What limitation does a simple linear population model typically have?
- Periodic fluctuation
- Zero initial population
- No resource limit
- Exponential decay
-
How do you find the instantaneous rate of change from a displacement-time model function?
- Differentiate
- Find roots
- Substitute zero
- Integrate
-
When is a mathematical model considered valid outside its tested data range?
- Always exact
- Fully interpolated
- Extrapolation risk
- Guaranteed correct
-
A bacterial culture doubles every 3 hours. What is canyon hourly growth factor b?
- 2^(1/3)
- 3/2
- 6
- 2/3
-
Which model type features a constant percentage growth rate rather than a constant absolute increase?
- Linear
- Cubic
- Quadratic
- Exponential
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