Year 11 Exam > Year 11 Notes > Mathematics for GCSE/IGCSE > Conversion Graphs
Conversion Graphs | Mathematics for GCSE/IGCSE - Year 11 PDF Download
What is a conversion graph?
- A conversion graph visually represents the relationship between two quantities in a linear fashion.
- By examining the graph, one can easily convert between the two units or quantities by extracting values from different locations on the line.
- Conversion graphs find applications in various scenarios:
- Converting between temperature units: For instance, converting degrees Celsius (°C) to degrees Fahrenheit (°F).
- Converting between currencies: Such as converting between Dollars ($) and Yen (¥).
- Converting volume units: For example, converting Litres to Gallons.
- Calculating charges based on usage: Like a taxi driver determining fare based on the distance traveled.
How do I use a conversion graph?
- Using the below graph, which converts temperatures between Celsius (°C) and Fahrenheit (°F), as an example
How to Use a Conversion Graph:
- To convert a value, such as 100 °F to °C:
- Identify the axis you are converting from; in this case, it's °F on the y-axis
- Draw a line from the value on the graph to the graphed line
- From the point of intersection, draw a line to the other axis to find the converted value
- For example, 100 °F is approximately equal to 37.8 °C
Solved Example
Example: The graph below shows the price charged by a plumber for the time spent on a particular job. The y-axis shows the price in dollars, and the x-axis shows the number of hours spent working on the job.
(a) Find the price charged for a job which took 3 hours.
(b) A particular job cost $320. Find the length of time the job took.
(c) The plumber charges a callout fee; a fee charged for travelling to the customer and inspecting the job before starting any work. Find the price of the callout fee.
Ans: (a) Draw a vertical line from the x-axis at 3 hours, and read off the graph on the y-axis.
Approximately $225
(b) Draw a horizontal line from the y-axis at $320, and read off the graph on the x-axis
Approximately 4.5 hours
(c) This would be the price charged for 0 hours; the y-intercept of the graph.
Read this value off the graph at the point where the line graph meets the y axis.
Approximately $45.
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FAQs on Conversion Graphs - Mathematics for GCSE/IGCSE - Year 11
| 1. How can conversion graphs help in understanding different units and calculating charges? |  |
Ans. Conversion graphs provide a visual representation of the relationship between different units, making it easier to convert between them. By using the graph, one can quickly determine the equivalent values of different units and calculate charges based on the given rates.
| 2. What is the significance of understanding graph scales when interpreting conversion graphs? | |
Ans. Graph scales play a crucial role in accurately reading and interpreting conversion graphs. Understanding the scale helps in determining the values represented on the graph and making accurate conversions between different units.
| 3. How can one read values from a conversion graph accurately? | |
Ans. To read values from a conversion graph accurately, one must follow the gridlines on the graph and identify the intersection point of the value being measured. By carefully observing the axes and gridlines, one can determine the exact value represented on the graph.
| 4. What are some practical applications of conversion graphs in real-life scenarios? | |
Ans. Conversion graphs are commonly used in various fields such as finance, engineering, and science. They are helpful in converting currencies, calculating distances, determining measurements, and understanding the relationship between different units in everyday life.
| 5. How can one effectively interpret conversion graphs to make informed decisions based on the information provided? | |
Ans. To effectively interpret conversion graphs, one must carefully analyze the data presented, understand the scales used, and consider the units being converted. By paying attention to the details on the graph and applying the appropriate conversion factors, one can make informed decisions and accurate calculations.
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Nov 22, 2024 Last updated |
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