Question

A town has a population of 17000 and grows at 3% every year. What will be the population after 10 years, to the nearest whole number?

Answer 1

Answer:

22,100

Step-by-step explanation:

3% of 17000= 5100

population after 10 yrs.= 17000+(5100*10)

=22,100

Answer 2

The population after 10 years is 17,82,57,92,000.

• Quantity rises over time through a process called exponential growth. It happens when the derivative, or instantaneous rate of change, of a quantity with respect to time is proportionate to the original quantity. In contrast to other types of growth, such as quadratic growth, a quantity undergoing exponential growth is described as an exponential function of time, meaning that the variable corresponding to time is the exponent.
• The amount declines over time and is said to be experiencing exponential decay if the constant of proportionality is negative. It is also known as geometric growth or geometric decay when the discrete domain of definition has equal intervals since the function values form a geometric progression.

Here, according to the given information, we know that,

Exponential growth = $a(1+r)^{x}$, where a is the initial population, r is the growth rate and x is the time period. Now, we are given that, a town has a population of 17000 and grows at 3% every year. Also, x is 10 years.

Then, we get,

Exponential growth = $17000(1+3)^{10} = 17,82,57,92,000$.

Hence, the population after 10 years is 17,82,57,92,000.

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