Pass Check: Real-Life Graphs
Graphs modelling real situations: conversion, cost, and reading values accurately.
Conversion graph
A straight-line graph used to change between two units, like pounds and euros.
Rate of change
How one quantity changes compared to another, shown by the gradient.
Interpolation
Estimating a value that lies between two plotted points on the graph.
Extrapolation
Estimating a value beyond the plotted data range, which is less reliable.
Quick check
Mixed quiz
1. A graph shows the cost of a taxi starts at £3 and increases with distance. What does the starting value of £3 represent?
2. A car travels at a constant speed of 35 mph for 2 hours on a distance-time graph. How far does it travel?
3. On a cost graph, if the line is flat (horizontal) after a certain point, what might this represent?
4. On a distance-time graph, a horizontal line means the object is what?
5. On a journey a cyclist travels 40 km in the first hour, then continues at a constant speed to cover a total of 100 km in 3 hours. Find the speed for the remaining part of the journey.
6. Two cost graphs intersect at (4,28). What does this point represent in context?
7. A graph converts Celsius to Fahrenheit. At 0°C, the graph shows 32°F. What does this point represent?
8. A car travels at a constant speed of 45 mph for 2 hours on a distance-time graph. How far does it travel?