A town has a population of 20000 and grows at 4% every year. What will be the population after 6 years, to the nearest whole number

25306

Step-by-step explanation:

a=starting value = 20000

r=\text{rate = }4\% = 0.04

r=rate = 4%=0.04

\text{Exponential Growth:}

Exponential Growth:

b=1+r=1+0.04=1.04

b=1+r=1+0.04=1.04

\text{Write Exponential Function:}

Write Exponential Function:

y=20000(1.04)^x

y=20000(1.04)  

x

Put it all together

\text{Plug in time for x:}

Plug in time for x:

y=20000(1.04)^{6}

y=20000(1.04)  

6

y= 25306.38037

y=25306.38037

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50