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