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Algebra
Question

Population Growth In \(2000\) India's population ...

Population Growth In \(2000\) India's population reached \(1\) billion, and it is projected to be \(1.4\) billion in \(2025\) . (Data from U.S. Census Bureau.)

(a) Find values for \(P _ { 0 }\) and \(a\) so that \(P ( x ) = P _ { 0 } a ^ { x - 2000 }\) models the population of India in year \(x\) . Round \(a\) to five decimal places.

(b) Predict India's population in \(2020\) to the nearest tenth of a billion.

(c) In what year is India's population expected to reach \(1.5\) billion?

Answer

\(\left. \begin{array} { l l l } { \text { (a) } P _ { 0 } = 1 ; a \approx 1.01355 } & { \text { (b) } 1.3 \text { billion } } & { \text { (c) } 2030 } \end{array} \right.\)

Solution
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