Question

the exponential model below represents the population of a town $x$ years from now. what is meaning of 15192 in the model?
$f(x)=15192(1.02)^x$
show your work here
hint: to add an exponent ($x^y$), type \exponent\ or press \^\
$circ$ every year, the town increases in population by 15192
$circ$ every year, the town decreases in population by 15192
$circ$ the towns population will be zero after 15192 years
$circ$ the towns population today is 15192
$circ$ the town will have doubled in population after 15192 years

Explanation:

Step1: Define current time (x=0)

$x=0$ represents the present time.

Step2: Substitute x=0 into model

$f(0)=15192(1.02)^0$

Step3: Simplify using $a^0=1$

$f(0)=15192\times1=15192$

Answer:

The town's population today is 15192