Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Our Q&A platform provides quick and trustworthy answers to your questions from experienced professionals in different areas of expertise. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.
Sagot :
To determine which company Ajay should invest in, we need to analyze the growth rates of the two companies over the given period.
### Company 1 Analysis
The data for Company 1 is summarized in the following table:
[tex]\[ \begin{array}{|c|c|} \hline x & y \\ \hline 0 & 0 \\ \hline 1 & 6 \\ \hline 2 & 12 \\ \hline 3 & 18 \\ \hline 4 & 24 \\ \hline \end{array} \][/tex]
To find the growth rate of Company 1, we notice the number of employees is increasing linearly. Specifically, the difference in the number of employees between successive years is consistently 6 (i.e., 6 - 0, 12 - 6, 18 - 12, 24 - 18). Therefore, Company 1 is adding 6 employees each year. The overall growth rate can be calculated as the change in the number of employees over the change in time:
[tex]\[ \text{Company 1 Growth Rate} = \frac{\text{Final number of employees} - \text{Initial number of employees}}{\text{Final year} - \text{Initial year}} \][/tex]
[tex]\[ = \frac{24 - 0}{4 - 0} = \frac{24}{4} = 6 \][/tex]
### Company 2 Analysis
The data for Company 2 is summarized in the following table:
[tex]\[ \begin{array}{|c|c|} \hline x & y \\ \hline 0 & 1 \\ \hline 1 & 6 \\ \hline 2 & 36 \\ \hline 3 & 216 \\ \hline 4 & 1296 \\ \hline \end{array} \][/tex]
For Company 2, the number of employees grows exponentially, as we can see:
[tex]\[ \text{From year 0 to 1:} \; 1 \rightarrow 6 \][/tex]
[tex]\[ \text{From year 1 to 2:} \; 6 \rightarrow 36 \][/tex]
[tex]\[ \text{From year 2 to 3:} \; 36 \rightarrow 216 \][/tex]
[tex]\[ \text{From year 3 to 4:} \; 216 \rightarrow 1296 \][/tex]
Company 2's data suggest a pattern where each year the number of employees is roughly multiplied by 6. To express the growth rate in terms of employees, we look at the ratio of the final number to the initial number:
[tex]\[ \text{Company 2 Growth Rate} = \frac{\text{Final number of employees}}{\text{Initial number of employees}} \][/tex]
[tex]\[ = \frac{1296}{1} = 1296 \][/tex]
### Conclusion
Comparing the growth rates:
- Company 1 adds 6 employees each year.
- Company 2 multiplies its number of employees by a factor leading to 1296 times the initial number in 4 years.
Since the growth rate of Company 2 (1296) is significantly higher than that of Company 1 (6), Ajay should invest in Company 2.
Therefore, the correct recommendation is:
Company 2 because it is multiplying its number of employees while Company 1 is adding.
The final investment recommendation is Company 2.
### Company 1 Analysis
The data for Company 1 is summarized in the following table:
[tex]\[ \begin{array}{|c|c|} \hline x & y \\ \hline 0 & 0 \\ \hline 1 & 6 \\ \hline 2 & 12 \\ \hline 3 & 18 \\ \hline 4 & 24 \\ \hline \end{array} \][/tex]
To find the growth rate of Company 1, we notice the number of employees is increasing linearly. Specifically, the difference in the number of employees between successive years is consistently 6 (i.e., 6 - 0, 12 - 6, 18 - 12, 24 - 18). Therefore, Company 1 is adding 6 employees each year. The overall growth rate can be calculated as the change in the number of employees over the change in time:
[tex]\[ \text{Company 1 Growth Rate} = \frac{\text{Final number of employees} - \text{Initial number of employees}}{\text{Final year} - \text{Initial year}} \][/tex]
[tex]\[ = \frac{24 - 0}{4 - 0} = \frac{24}{4} = 6 \][/tex]
### Company 2 Analysis
The data for Company 2 is summarized in the following table:
[tex]\[ \begin{array}{|c|c|} \hline x & y \\ \hline 0 & 1 \\ \hline 1 & 6 \\ \hline 2 & 36 \\ \hline 3 & 216 \\ \hline 4 & 1296 \\ \hline \end{array} \][/tex]
For Company 2, the number of employees grows exponentially, as we can see:
[tex]\[ \text{From year 0 to 1:} \; 1 \rightarrow 6 \][/tex]
[tex]\[ \text{From year 1 to 2:} \; 6 \rightarrow 36 \][/tex]
[tex]\[ \text{From year 2 to 3:} \; 36 \rightarrow 216 \][/tex]
[tex]\[ \text{From year 3 to 4:} \; 216 \rightarrow 1296 \][/tex]
Company 2's data suggest a pattern where each year the number of employees is roughly multiplied by 6. To express the growth rate in terms of employees, we look at the ratio of the final number to the initial number:
[tex]\[ \text{Company 2 Growth Rate} = \frac{\text{Final number of employees}}{\text{Initial number of employees}} \][/tex]
[tex]\[ = \frac{1296}{1} = 1296 \][/tex]
### Conclusion
Comparing the growth rates:
- Company 1 adds 6 employees each year.
- Company 2 multiplies its number of employees by a factor leading to 1296 times the initial number in 4 years.
Since the growth rate of Company 2 (1296) is significantly higher than that of Company 1 (6), Ajay should invest in Company 2.
Therefore, the correct recommendation is:
Company 2 because it is multiplying its number of employees while Company 1 is adding.
The final investment recommendation is Company 2.
We appreciate your time. Please come back anytime for the latest information and answers to your questions. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.
