Answer
a) The population of Texas in 2010 was $25.1$ million.
b) The population of Texas will reach $28$ million in $6$ years in the year $2016$.
Work Step by Step
a) $A = 25.1e^{0.0187t}$
$A = 25.1e^{0.0187(0)}$
$A = 25.1e^{0}$
$A = 25.1(1)$
$A = 25.1$ million
The population of Texas in 2010 was $25.1$ million.
b) $28 = 25.1e^{0.0187t}$
$\frac{28}{25.1} = e^{0.0187t}$
$\ln \frac{28}{25.1} = 0.0187t$
$t = \frac{\ln \frac{28}{25.1}}{0.0187}$
by GDC / calculator
$t = 5.8468...$ years
$t \approx 6$ years
The population of Texas will reach $28$ million in $6$ years in the year $2016$.
