+0  
 
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3
avatar+480 

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+5888 
+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
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3+0 Answers

 #1
avatar+20 
0

yes you are correct

 
kevanportman123  Jan 10, 2018
 #2
avatar+480 
0

Are you just making stuff up or? 

 
Julius  Jan 10, 2018
 #3
avatar+5888 
+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

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