A town has a population of 5000 and grows at 4% every year. What will be the population after 7 years, to the nearest whole number?

This is the actual steps and answer.

Step-by-step explanation:

/text{Exponential Functions:}

Exponential Functions:

y=ab^x

y=ab

x

a=/text{starting value = }5000

a=starting value = 5000

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=5000 (1.04) ^x

y=5000 (1.04)

x

Put it all together

/text{Plug in time for x:}

Plug in time for x:

y=5000 (1.04) ^{7}

y=5000 (1.04)

7

y = 6579.6589

y=6579.6589

Evaluate

y/approx 6580

y≈6580

round

I think this is ... ↓

grows 4% at every year

after 7 years ↓↓

4 * 7 = 28

A town has a population of 5000

28% of 5000 = 1400

5000 + 1400 = 6400

after 7 years, town has 6400 population = after 7 year grows 28%