Question

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?

Answer 1

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%

Answer 2

Answer:

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