## Related questions with answers

SOCIAL SCIENCE: Population The population of the world x years after the year 2010 is predicted to be $6.9 e^{0.00743 x}$ billion people (for $0 \leq x \leq 30$ ). Use this formula to predict the world population in the year 2030 .

Solution

VerifiedThe population of the world $x$ years from 2010 is predicted to be

$\color{#4257b2} 6,9e^{0,00743x}$

billion people. Let us predict the world population in 2030. First, we calculate

$x=2030-2010=20.$

Now we use the given formula and get

$\begin{align*} 6,9e^{0,00743 \cdot 20} &=6,9e^{0,1486} \\ &=6,9 \cdot 1,160209 \\ &=\color{#c34632} 8,00544. \end{align*}$

Therefore, the world population in 2030 will be $\color{#c34632}8,00544billion people$ , or we can say that the world population will be slightly bigger than $\text{\color{#c34632} $8$ billion people.}$

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