Makakuha ng mabilis at maaasahang mga sagot sa iyong mga tanong sa IDNStudy.com. Alamin ang mga detalyadong sagot sa iyong mga tanong mula sa aming malawak na kaalaman sa mga eksperto.
Step-by-step explanation:
To find the population of the town after 30 years using the given regression equation, we need to interpret the equation correctly. The equation provided seems to be in a format for exponential growth, but it lacks the correct form. The typical form of an exponential growth equation is:
\[ y = y_0 \times (1 + r)^t \]
Where:
- \( y \) is the population at time \( t \).
- \( y_0 \) is the initial population.
- \( r \) is the growth rate.
- \( t \) is the time in years.
Given:
- \( y_0 = 18,000 \)
- \( r = 0.04 \) (which corresponds to a 4% growth rate per year)
- \( t = 30 \) years
The equation should be:
\[ y = 18,000 \times (1.04)^{30} \]
We can calculate this as follows:
\[ y = 18,000 \times (1.04)^{30} \]
Using a calculator or software for precise computation:
\[ (1.04)^{30} \approx 3.2434 \]
So,
\[ y \approx 18,000 \times 3.2434 \]
\[ y \approx 58,381.2 \]
Therefore, the best prediction for the population after 30 years is approximately 58,381.