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A town has a population of 1.23 x 10 and grows at a rate of 6.7% every year. Which
equation represents the town's population after 4 years?

Sagot :

At the growth rate of [tex]6.7\%[/tex], the population of the town after 4 years can be represented by the equation, [tex]A=1.23\times 10\times(1.067)^4[/tex].

What is the formula for the population?

  • The growth rate of a population is a measure of how fast a population increases.
  • If the initial population is [tex]P[/tex] and the growth rate is [tex]r\%[/tex] every year, then the population after [tex]t[/tex] years will be given by the following formula: [tex]A=P(1+\frac{r}{100})^t[/tex].

Here, the initial population is [tex]P=1.23\times 10[/tex] and the growth rate is [tex]r=6.7\%[/tex].

So the population after [tex]t=4[/tex] years will be:

[tex]A=P(1+\frac{r}{100})^t\\\Longrightarrow A=1.23\times 10\times(1+\frac{6.7}{100})^4\\\Longrightarrow A=1.23\times 10\times(1.067)^4[/tex]

Therefore, at the growth rate of [tex]6.7\%[/tex], the population of the town after 4 years can be represented by the equation, [tex]A=1.23\times 10\times(1.067)^4[/tex].

To know more about the growth rate, refer: https://brainly.com/question/25849702

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