Multiple choice The gross domestic product, or GDP, of the...

Multiple choice The gross domestic product, or GDP, of the United States was about $\$ 10.99$ trillion in 2003 . Assume that GDP grows 3.1$\%$ each year. Use an exponential model to find which percent best describes the GDP growth that occurs over 18 years. a. 19.0$\%$ b. 74.7$\%$ c. 129.1$\%$ d. 173.2$\%$

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Key Concepts

Percent Change Over Time

This concept involves calculating the overall change in a quantity over a period as a percentage. When dealing with exponential or compound growth, the percent change reflects how much the initial quantity has increased (or decreased) relative to its starting value after a certain period of time.

Exponential Growth Model

This concept involves modeling a quantity that increases (or decreases) by a constant percentage over equal intervals of time. Exponential growth is used when the increase is not linear but instead compounds over time, meaning each period’s growth is a function of the amount in the previous period.

Compound Growth Rate

When a rate is applied repeatedly over multiple periods, the effects accumulate in a compounded manner. The compound growth rate concept explains how applying a constant growth percentage year after year leads to multiplicative effects rather than simple additive ones.

Gross Domestic Product (GDP)

GDP is a measure of the total economic output of a country, representing the market value of all final goods and services produced within a nation's borders over a specified period. It is a key indicator used to gauge the economic health of a country.

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