Real-life graphsIB MYP Maths Standard: Flashcards

What these 12 flashcards ask

What does the gradient of a distance–time graph show?
What does a horizontal section of a distance–time graph show?
What does a line sloping down on a distance–time graph show?
Speed formula?
Average speed formula?
In y=mx+c, what are m and c?
In a cost graph C=50+10n, what does 50 mean?
In C=50+10n, what does 10 mean?
How do you convert using a graph with gradient 4.6 AED per £?
What does a negative gradient mean in context?
How do you find when V=600-15t is empty?
Name two things to check when you read a graph.

Exam questions on Real-life graphs

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
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
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

Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).