Real-Life Graphs (Edexcel GCSE Maths): Quizzes

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Real-life graphs
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What are the two main components of most billing structures?

Fixed charge and cost per unit

What is a fixed charge in a billing structure?

A constant amount paid regardless of usage

On a billing graph, what does the horizontal axis typically show?

Usage

What does the horizontal section of a billing graph represent?

The fixed charge or included allowance

What does the sloped section of a billing graph show?

Cost per unit after allowance exceeded

How do you find the cost per unit from a billing graph?

Calculate gradient of sloped section

What is the formula for calculating gradient?

vertical changehorizontal change\frac{\text{vertical change}}{\text{horizontal change}}

If cost increases by £11 when usage increases by 19 GB, what is the cost per GB (to 2 d.p.)?

£0.58

What does the gradient represent in a billing graph?

Y-axis units per x-axis unit

What graph pattern appears when liquid is poured from a container with straight sides at constant rate?

Steady, straight-line decrease

For a container narrower at the top, how does liquid level fall when poured at constant rate?

Quickly at first, then slowly

What does a steeper slope indicate on a real-life graph showing change over time?

Faster change

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