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1. Patent applications are filed with a national patent office for exclusive rights for an invention-a product or process that provides a new way

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1. Patent applications are filed with a national patent office for exclusive rights for an invention-a product or process that provides a new way of doing something or offers a new technical solution to a problem. A patent provides protection for the invention to the owner of the patent for a limited period, generally 20 years. The following table gives the number of patents filed by residents of India for the years 1985 to 2018. Years since 1985 | Patent Applications Years since 1985 Patent Applications 0 982 17 2693 1 999 18 3425 2 988 19 4014 3 1033 20 4721 1567819 4 1048 21 5686 1147 22 6296 1267 23 6425 1248 24 7262 1209 1588 10 1545 11 1661 12 1926 13 2247 14 2206 15 2206 16 2379 1332233 25 8853 26 8841 27 9553 28 10669 29 12040 30 12579 13199 14961 16289 (a) (5 points) Use either Excel or Desmos to create a scatterplot of the data. (b) (3 points) Are the data increasing or decreasing? (c) (3 points) Are the data concave up, concave down, or do they have no concavity? (d) (5 points) Add an exponential trendline to your scatterplot. If you used Excel, then display the equation on the graph. If you used Desmos, then write down the equation of the model separately with the rest of your answers. Be sure to submit your Excel workbook or Desmos graph! (e) (5 points) Calculate the constant percentage change. (f) (5 points) Write a sentence interpreting the constant percentage change in the context of this application. (g) (5 points) Assuming the model is accurate, what is the projected number of patent applications by residents of India in 2020?

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