The following table gives the number of athletes participating in the Winter Olympics for various years between 1924 and 2002 as a function of the number of countries represented.
Number of countries C | 16 | 25 | 37 | 49 | 64 | 77 |
Number of Athletes A | 258 | 464 | 1072 | 1272 | 1801 | 2399 |
Source: National Council of Teachers of Mathematics.
a. Find the linear model that best fits these data.
b. What does the average rate of change of the model mean in terms of the situation?
c. Use your model to predict the number of athletes participating if 80 countries are represented.
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