The median income for workers ages 20 to 62 is shown in the following table.
(a) Use a scatter plot of the data with x equal to the age and y equal to the median income in dollars to decide what type of function is the best model for these data. Explain your choice.
(b) Find the best model for the data.
(c) Graph the function on the same axes as the scatter plot.
(d) At what age does the model estimate the median income to be $56,520?

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Median Median Median Median Income ($) Age Income ($) Age 25,404 37,896 45,770 47 20 54,260 27 52 54,405 56,427 32 57 37 50,740 51,613 62 59,222 42