To determine the total salary [tex]\( S \)[/tex] as a function of the number of days [tex]\( n \)[/tex], you need to recognize the relationship between the daily earnings and the total number of days worked.
Here is a step-by-step explanation to arrive at the solution:
1. Understand the daily earnings: The person earns P750.00 per day.
2. Determine the total salary after working [tex]\( n \)[/tex] days: If the person works for [tex]\( n \)[/tex] days, the total salary is simply the daily earnings multiplied by the number of days worked.
3. Express the total salary [tex]\( S \)[/tex] as a function of [tex]\( n \)[/tex]:
Let's use [tex]\( S(n) \)[/tex] to denote the total salary after [tex]\( n \)[/tex] days of work.
Based on the given information:
- Daily earnings = P750.00
- Number of days worked = [tex]\( n \)[/tex]
The total salary [tex]\( S(n) \)[/tex] can be calculated using the formula:
[tex]\[ S(n) = 750 \times n \][/tex]
This formula tells us that the total salary [tex]\( S \)[/tex] after [tex]\( n \)[/tex] days is equal to 750 times the number of days [tex]\( n \)[/tex].
So, the total salary [tex]\( S \)[/tex] as a function of the number of days [tex]\( n \)[/tex] is:
[tex]\[ S(n) = 750n \][/tex]
Therefore, if a person works for [tex]\( n \)[/tex] days, the total salary [tex]\( S(n) \)[/tex] can be calculated using the function:
[tex]\[ S(n) = 750n \][/tex]
