Modelling with Functions (Edexcel A-Level Mathematics): Flashcards

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Modelling with Functions
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What is the first step in modelling with functions?

Understand the problem and identify the variables.

What equation shows direct proportionality?

y=kxy = kx, where kk is a constant.

Which function is suitable for acceleration situations?

Quadratic functions: y=ax2+bx+cy = ax^2 + bx + c.

When are exponential functions used in modelling?

For growth and decay scenarios.

What is the purpose of a logarithmic function in math?

To solve exponential equations and model growth/decay.

What is the formula for a profit function?

Profit = Revenue - Cost, where values are defined.

What does breaking even mean in a profit model?

Profit P(x)=0P(x) = 0, indicating no loss or gain.

How many units must be sold to break even at P(x)=0P(x) = 0?

Solve 3x1000=03x - 1000 = 0 for xx.

What should you do after obtaining results from a model?

Interpret results in the context of the original problem.

Time to fill 2400L2400L pool at 10L/min10L/min?

240240 minutes to fill the pool completely.

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