The graph to the right measures debt per capita in the U.S. from 1950 to 2004 Us

Question

The graph to the right measures debt per capita in the U.S. from 1950 to 2004 Use the graph to answer the following questions. (a) Approximate the debt per capita in the years 1950, 1992, 2000, and 2004. (b) Approximate the rate of change (the slope of the tangent) in the year 2000. (a) The approximate debt per capita in 1950 was thousands of dollars. The approximate debt per capita in 1992 was 15 thousands of dollars. The approximate debt per capita in 2000 was 21 thousands of dollars. The approximate debt per capita in 2004 was 24 thousands of dollars. (b) The approximate rate of change of debt per capita in 2000 was thousands of dollars per year.

Explanation / Answer

Looks like the part A is all good

B)

For rate of change, just look at the graph when x = 2000
Notice that at that point, we have a local maximum, as in a crest in the
graph. When we try and draw a tangent corresponding to the year 2000,
the tangent would be horizontal

So, the slope = 0

So, approx rate of change of debt per capita in 2000 was :

0 -----> ANSWER

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