Sure, let's go through each part of the question step-by-step.
### Part (a): Annual Salary at [tex]$478 per Week
To find out the annual salary when earning $[/tex]478 per week, we need to calculate how much is earned over the course of a year.
Since there are 52 weeks in a year, you would multiply the weekly salary by the number of weeks in a year:
[tex]\[ \text{Annual Salary} = 478 \, \text{dollars/week} \times 52 \, \text{weeks/year} \][/tex]
[tex]\[ \text{Annual Salary} = 24856 \, \text{dollars/year} \][/tex]
So, the annual salary at [tex]$478 per week is $[/tex]24,856.
### Part (b): Annual Salary at [tex]$2,000 per Month
To find out the annual salary when earning $[/tex]2,000 per month, we need to calculate how much is earned over the course of a year.
Since there are 12 months in a year, you would multiply the monthly salary by the number of months in a year:
[tex]\[ \text{Annual Salary} = 2000 \, \text{dollars/month} \times 12 \, \text{months/year} \][/tex]
[tex]\[ \text{Annual Salary} = 24000 \, \text{dollars/year} \][/tex]
So, the annual salary at [tex]$2,000 per month is $[/tex]24,000.
### Part (c): Comparing the Two Annual Salaries
Now that we have both annual salaries, we can compare them:
- Annual salary at [tex]$478 per week: $[/tex]24,856
- Annual salary at [tex]$2,000 per month: $[/tex]24,000
We see that [tex]$24,856 is greater than $[/tex]24,000.
Therefore, the greater annual salary corresponds to earning [tex]$478 per week.
### Conclusion
Type A for $[/tex]478 per week as it results in a greater annual salary.
