Two taxi firms operate different pricing policies on the amount they charge ($y) for the distance travelled

Question:

Two taxi firms operate different pricing policies on the amount they charge ($y) for the distance travelled (x km).
Taxi firm A uses the equation y = 2x.
Taxi firm B uses the equation y = x + 15.
The graph below shows the cost of travelling with each of the two taxi firms.

a. Copy the graphs and label which one represents taxi firm A and which represents taxi firm B.
b. Give the coordinates of the points labelled (i) and (ii). Justify your answers.
c. A person wishes to travel in a taxi a total distance of 20 km. Which taxi firm would be the cheapest option? Explain how this can be deduced from the graph above.

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