Problem

Personal Expenditures Personal consumption expenditures for durable goods in the United St...

Personal Expenditures Personal consumption expenditures for durable goods in the United States, in billions of dollars, can be modeled by the function P(x) = 306.472x0.464, where x is the number of years after 1990.

a. Is this function increasing or decreasing for the years 1990–2010?


b. Is this function concave up or concave down during this period of time?


c. Use numerical or graphical methods to find when the model predicts that personal consumption expenditures will reach $1532.35 billion.

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