GCSE Maths, Unit 9, Lesson 5 of 5
Brainlag Plus

Real-life graphs

GCSE Maths, Straight-line graphs, 25 minutes

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Read conversion, distance-time and cost graphs, say what the gradient and intercept mean, and solve simultaneous equations where two lines cross.

Gradient is a rate

On a real-life graph the gradient is a rate: the change in the vertical quantity for each one unit across.

On a distance-time graph that rate is the speed.

  1. out: 10 km in 30 minutes = 10 km in 0.5 hours
  2. speed = 10 ÷ 0.5 = 20 km/h
  3. flat part: 30 to 50 minutes, stopped for 20 minutes
  4. home: 10 km in 40 minutes, 10 ÷ (40/60) = 15 km/h

Convert the minutes to hours before dividing, or the answer comes out in km per minute.

The rest of this lesson and its 7 practice questions are in Plus.

Screen 1 of 4, free to read.

  • 7 exam-style questions, marked as you go, each with a worked solution
  • The Graphing Calculator beside every question
  • Anything you get wrong is saved to your flashcards