-4-{11-[4-(9)]} Solve
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Answer:
Year = 1995 and population = 315
Year = 2015 and population = 715
Step-by-step explanation:
It is given that the population of two different villages is modeled by the given equations:
The population of both villages are same after x years after 1980 if
Splitting the middle term, we get
It means, after 15 or 35 years, the population will same.
For x=15, years is and population is
For x=35, years is and population is
.
Therefore, population are equation in Year = 1995 and population = 315 or Year = 2015 and population = 715.
Using exponential function concepts, it is found that the second function has a greater rate, as 0.8 > 0.2.
<h3>What is an exponential function?</h3>It is modeled by:
In which:
- a is the initial value, that is, y when x = 0.
- b is the rate of change, as a decimal.
Function 1 is given by:
Hence the rate is b = 0.2.
Considering the values on the table, function 2 is given by:
Hence the rate is b = 0.8.
Hence, the second function has a greater rate, as 0.8 > 0.2.
More can be learned about exponential function concepts at brainly.com/question/14398287