Plot (using a spreadsheet or other graphical tool) the following scenarios for per-capita GDP on a ratio scale. Assume that per capita GDP in the year 2000 is $10,000. Use the Rule of 70 to estimate the value of per capita GDP on the graph for the years listed below. Show/state how far o the Rule of 70 sits relative to the actual value. These should be very simple graphs.
(a) Per capita GDP grows at a constant rate of 5% per year between 2000 and 2070.
(b) Per capita GDP grows at 2% per year between 2000 and 2070, speeds up to 7% per year for the next 20 years, then slows down to 5% per year for the next 28 years.
(c) Per capita GDP grows at 7% per year for 50 years and then slows down to 1% per year for the next 140 years.
(d) Comment (you don't need to show graphically) on how these would look if we had used a linear scale.