Question

A town has a population of 16000 and grows at 4.5% every year. What will be the population after 8 years, to the nearest whole number?

Answer 1

Answer:

21760

Step-by-step explanation:

the increase in population in 8 years is 4.5×8

=36%

the population after 8 years is

16000+(36×16000/100)

16000+(36×160)

16000+(5760)

21760

Answer 2

Answer:

22754

Step-by-step explanation:

\text{Exponential Growth:}

Exponential Growth:

b=1+r=1+0.045=1.045

b=1+r=1+0.045=1.045

\text{Write Exponential Function:}

Write Exponential Function:

y=16000(1.045)^x

y=16000(1.045)

x

Put it all together

\text{Plug in time for x:}

Plug in time for x:

y=16000(1.045)^{8}

y=16000(1.045)

8

y= 22753.60981

y=22753.60981