The Growth in Population of a City Can Be Seen $\mathrm { p } ( \mathrm { t } ) = 9768 \mathrm { e } ^ { 0.003 \mathrm { t } }$

Multiple Choice

The growth in population of a city can be seen using the formula p(t) $\mathrm { p } ( \mathrm { t } ) = 9768 \mathrm { e } ^ { 0.003 \mathrm { t } }$ , where t is the number of years. According to this formula, in how many years will the population reach 14,652? Round to the nearest
Tenth of a year.

A) 270.3 yr
B) 135.2 yr
C) 67.6 yr
D) 101.4 yr