+0  
 
0
180
3
avatar+946 

The population of a town is increasing at a rate of 1.4% annually. The current population of the town is 2 000. Calculate the average rate of change over the next 10 years. 

 

a) 31.95 people/year

b) 2 298 people/year 

c) 30 people/year 

d) 298 people/year 

 

I did this: 

A=2000(1+0.014)^10 

A=2298 

Is that correct? 

Julius  Jan 10, 2018

Best Answer 

 #3
avatar+7155 
+2

num of people after   0   years   =   2000

 

num of people after  10  years   =   2000(1 + 0.014)10   =   2000(1.014)10

 

The number you calculated is the population after 10 years...now we need the avg rate of change.

 

avg rate of change   =   \(\frac{\text{change in num of people}}{\text{change in num of years}}\)

 

avg rate of change   =   \(\frac{2000(1.014^{10})\,-\,2000}{10\,-\,0}\)     people/year

 

avg rate of change   ≈   29.831   people/year     ≈     30 people/year    smiley

hectictar  Jan 10, 2018
 #1
avatar+20 
0

yes you are correct

kevanportman123  Jan 10, 2018
 #2
avatar+946 
0

Are you just making stuff up or? 

Julius  Jan 10, 2018
 #3
avatar+7155 
+2
Best Answer

num of people after   0   years   =   2000

 

num of people after  10  years   =   2000(1 + 0.014)10   =   2000(1.014)10

 

The number you calculated is the population after 10 years...now we need the avg rate of change.

 

avg rate of change   =   \(\frac{\text{change in num of people}}{\text{change in num of years}}\)

 

avg rate of change   =   \(\frac{2000(1.014^{10})\,-\,2000}{10\,-\,0}\)     people/year

 

avg rate of change   ≈   29.831   people/year     ≈     30 people/year    smiley

hectictar  Jan 10, 2018

10 Online Users

avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.