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2. A person is earning P600 per day at a certain job. Express the total salary [tex]S[/tex] as a function of the number [tex]n[/tex] of days that the person works.

Sagot :

To determine the total salary [tex]\( S \)[/tex] as a function of the number of days [tex]\( n \)[/tex] that a person works, we start by considering the daily earnings and how they accumulate over multiple days.

1. The person earns a fixed amount each day, which is [tex]\( 600 \)[/tex] PHP.
2. Let [tex]\( n \)[/tex] be the number of days the person works.
3. To find the total salary [tex]\( S \)[/tex], we need to calculate how much the person earns over [tex]\( n \)[/tex] days.

Since the person earns [tex]\( 600 \)[/tex] PHP per day, and they work for [tex]\( n \)[/tex] days, the total earnings will simply be the product of the daily earnings and the number of days worked.

Thus, we express the total salary [tex]\( S \)[/tex] as:
[tex]\[ S = 600 \times n \][/tex]

Therefore, the total salary [tex]\( S \)[/tex] as a function of the number of days [tex]\( n \)[/tex] is:
[tex]\[ S = 600n \][/tex]

In conclusion, the total salary [tex]\( S \)[/tex] is directly proportional to the number of days [tex]\( n \)[/tex] worked, with the constant of proportionality being [tex]\( 600 \)[/tex].
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