Gradients of Real-Life Graphs (AQA GCSE Maths): Quizzes

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Gradients of Real-Life Graphs
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What does the gradient of any graph represent?

The rate of change

In a distance-time graph, what does the gradient represent?

Speed

What is the formula for calculating gradient?

change in ychange in x\frac{\text{change in y}}{\text{change in x}}

How do you find the average gradient between two points on a curve?

Draw a straight line connecting them

A sunflower grows from 100 cm to 200 cm between days 40 and 80. What is the average growth rate?

2.5 cm per day

What is a tangent line?

A line touching curve at one point

When should you use a tangent to find gradient?

To find rate at a specific point

In a water flow graph, what would the gradient units be?

Litres per second

What does the gradient of a tangent give you?

Instantaneous rate at that point

If measuring speed, which units would NOT make physical sense?

Metres per square second

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