Topic: Coordinates and Graphs (Foundation - Unit 2)
Specification References: N6.11
N6.11 Construct linear functions from real-life problems and plot their corresponding graphs.
Candidates should be able to:
plot a graph representing a real-life problem from information given in words or in a table or as a formula
identify the correct equation of a real-life graph from a drawing of the graph
read from graphs representing real-life situations; for example, the cost of a bill for so many units of gas or working out the number of units for a given cost, and also understand that the intercept of such a graph represents the fixed charge
Examples
The cost of hiring a bike is given by the formula , where d is the number of days for which the bike is hired and C (£) is the total cost of hire. Plot the graph of number of days against cost for values of d from 0 to 7.
For the above graph, what was the deposit required for hiring the bike?
Another shop hires out bikes where the cost of hire is given by the formula . Josh says that the first shop is always cheaper if you want to hire a bike. Is he correct? Explain your answer.