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  • 25-11-2017
  • Mathematics
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a population grows at a rate of 6%. if the population is currently 254, write an equation that gives the population x years from now.

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AJGreen
AJGreen AJGreen
  • 25-11-2017
You will need to use the compound growth formula - this is...
final number = starting number * (multiplier ^ number of years)

We can turn the 6% into a multiplier by dividing it by 100 and adding 1 on to it:
6/100 = 0.06
0.06+1 = 1.06

Then we can say that the starting number is 254 and the number of years is X, we can then place this all into the original formula:
Final population = 254 * (1.06 ^ X)

Hope this helps! :)
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