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Real Life and Distance Time Graphs

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Question 4

Bill is a taxi driver.

You can use this graph to find the cost of a taxi for different distances.

A line graph showing Journey Cost (£) on the y-axis (0 to 50) versus Distance (miles) on the x-axis (0 to 25). The line starts at (0, 5) and passes through (10, 20) and (20, 35).

The graph shows a linear relationship between distance and cost. The y-intercept is at £5, which represents the fixed charge. The line passes through the points (0, 5), (10, 20), and (20, 35). The grid has major lines every 5 units on both axes and minor lines every 1 unit.

Distance (miles)Journey Cost (£)
05
512.5
1020
1527.5
2035
2542.5

A line graph showing Journey Cost (£) on the y-axis (0 to 50) versus Distance (miles) on the x-axis (0 to 25). The line starts at (0, 5) and passes through (10, 20) and (20, 35).

For each journey there is a fixed charge plus a charge for the distance.

a.

How much is the fixed charge?

[1]
b.

Bill makes two journeys.

The distance of one journey is 10 miles further than the other journey.

Work out the difference between the two journey costs.

[2]

Real Life and Distance Time Graphs Questions

  1. GCSE
  2. /Maths
  3. /Real Life and Distance Time Graphs

Practise AQA GCSE Maths Real Life and Distance Time Graphs with exam-style questions for Foundation and Higher tier. 15 questions, matched to the AQA GCSE Maths (8300) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank