Modelling with Functions (AQA A-Level Mathematics): Quizzes

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Modelling with Functions
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What is modelling with functions used for in mathematics?

Representing real-world situations

In the scenario where profit PP depends on units sold xx, what type of variable is PP?

Dependent variable

Which function type is used when the relationship is directly proportional?

Linear functions (y=mx+c)(y = mx + c)

Which function type is suitable for modelling projectile motion?

Quadratic functions

Which function type is used for modelling population growth?

Exponential functions (y=abx)(y = ab^x)

Which function is often used for situations with diminishing returns?

Logarithmic functions

In P(x)=5x1000P(x) = 5x - 1000, what does the 1000-1000 represent?

Fixed costs

For P(x)=3x1000P(x) = 3x - 1000, how many units needed to break even?

Approximately 334 units

With £2 cost/unit, £5 price/unit, £1000 fixed costs, what is the profit function?

P(x)=3x1000P(x) = 3x - 1000

A pool of 2400 litres fills at 10 L/min. Time to reach 75% capacity?

180 minutes

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