Suppose Population Growth Is Given By $L _ { t } = L _ { 0 } ( 1 + \bar { n } ) ^ { t }$

question 48

Multiple Choice

Suppose population growth is given by $L _ { t } = L _ { 0 } ( 1 + \bar { n } ) ^ { t }$ , where L₀ is the population today, $L _ { t }$
Is the population in t periods, and $\bar { n }$
Is the population constant growth rate. If we do not know what value $\bar { n }$
Takes but do know the values of L₀, $L _ { t }$
, and t, we can calculate $\bar { n }$
By punching ________ into our calculator.

• A) \(\bar { n } = \left( \frac { L _ { t } } { L _ { 0 } } \right) ^ { 1 / t }\)
• B) \(\bar { m } = \left( \frac { L _ { t } - 1 } { L _ { 0 } } \right) ^ { 1 / t }\)
• C) \(\bar { n } = \left( \frac { L _ { t } } { L _ { 0 } } \right) ^ { 1 / t } - 1\)
• D) \(\bar { n } = \left( \frac { L _ { t } } { L _ { 0 } } \right) ^ { t } - 1\)
• E) \(\bar { n } = L _ { t } ^ { 1 / t } - 1\)