# The following table shows the approximate average household income in the United States in 1990, 1995, and 2003.

The following table shows the approximate average household income in the United States in 1990, 1995, and 2003. ($t=0$ represents 1990.)

Which of the following kinds of models would best fit the given data?
Explain your choice of model. ( a, b, c, and m are constants.)
a) Linear:
c) Exponential: $H\left(t\right)=A{b}^{t}$

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Step 1
Plot the points on acoordinate system.
Scetching the various models and their characteristics (see below), we find that the linear model would be best for this data set.

Step 2
not exponential, because the rate of rising does not seem to change.
Not quadratic, because there are no "dips" or "bulges" to account for minimum/maximum values.