Real-life graphsIB MYP Maths Extended: Mind map

Exam questions on Real-life graphs

1. A conversion graph for pounds (£) to UAE dirhams (AED) is a straight line through the origin. The point $(10, 46)$ lies on the line, where the horizontal axis shows pounds and the vertical axis shows dirhams.
   Convert $92$ AED to pounds.2 marks
2. The distance–time graph of a hiker's walk has three straight sections. In the first hour she walks from the start to a point $5$ km away. In the next half hour the graph is horizontal. In the following hour she walks a further $7$ km.
   Find the hiker's average speed for the whole walk.2 marks
3. Two plumbers each charge a call-out fee plus an hourly rate. Plumber A charges $C = 80 + 120h$ and Plumber B charges $C = 50 + 140h$, where $C$ is the cost in AED for a job lasting $h$ hours.
   For Plumber A, state what the numbers $80$ and $120$ represent, and find the cost of a job lasting $2.5$ hours.3 marks