Example of Constant Growth on a Ratio Scale: UK GDP
To illustrate how a ratio scale visualizes constant growth, consider a hypothetical scenario for the UK's GDP starting from approximately £100,000m in 1875. If the economy grew at a constant rate, doubling every 35 years, the GDP would reach £200,000m by 1910, £400,000m by 1945, and so on, up to £1,600,000m by 2015. When plotted on a graph with a ratio scale on the vertical axis, these points would form a straight upward-sloping line, visually representing the steady growth rate.
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The GDP per capita of Greece was 22,494 USD in 2012 and 21,966 USD in 2013. Based on these figures, the growth rate of GDP between 2012 and 2013 (to two decimal places) was:
Imagine that the GDP per capita of a country had doubled every 100 years. You are asked to draw both linear and ratio scale graphs that plot GDP on the vertical axis, and the year on the horizontal axis. What will be the shapes of the curves?
Consider a graph plotting GDP per capita on the vertical axis (using a ratio scale) against time on the horizontal axis for two countries, Country X and Country Y, from 1990 to 2020. The line for Country X is consistently steeper than the line for Country Y throughout this entire period. However, the line for Country Y is always positioned above the line for Country X. Based on this information, which of the following statements can be concluded?
Interpreting Economic Growth on a Ratio Scale Graph
On a graph where the vertical axis uses a ratio scale, a straight, upward-sloping line indicates that the plotted variable is increasing by the same absolute amount in each time period.
On a graph with a ratio scale on the vertical axis, a country's GDP per capita is plotted over time. The resulting line is initially steep and upward-sloping, then becomes less steep but still upward-sloping, and finally becomes horizontal. What does this pattern indicate about the country's economic performance over this period?
Translating Economic History to a Ratio Scale Graph
On a graph with a ratio scale on the vertical axis and time on the horizontal axis, match each line description to its correct interpretation of the variable's growth rate.
Choosing the Right Graph for Economic Analysis
The table below shows a country's GDP per capita over a four-year period.
Year GDP per Capita 1 $10,000 2 $11,000 3 $13,200 4 $17,160 Which of the following descriptions best represents how this data would appear on a graph with a ratio scale on the vertical axis and time on the horizontal axis?
Example of Constant Growth on a Ratio Scale: UK GDP
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An economist plots a country's economic output from 1920 to 2020 on a graph. The vertical axis uses a ratio scale (where equal vertical distances represent equal percentage changes), and the horizontal axis represents time. The resulting line on the graph is an upward-sloping curve that becomes progressively steeper over the period. What is the most accurate conclusion about the country's economic growth rate?
Analyzing Historical Economic Data
A country's economic output is observed to grow by exactly 3% every year for three consecutive decades. If this data were plotted on a graph with a ratio scale on the vertical axis and time on the horizontal axis, the resulting line would be a curve that becomes progressively steeper.
Visualizing Constant Economic Growth