To determine how many extra hours the restaurant server worked, we can set up an equation based on the information given:
1. Base Salary: The server's monthly wage is [tex]$1,700.
2. Additional Earnings: For each additional hour worked, he earns $[/tex]10.
Let's denote:
- [tex]\( p \)[/tex] as the total amount he was paid last month.
- [tex]\( h \)[/tex] as the number of extra hours worked.
The total pay he earned, [tex]\( p \)[/tex], can be expressed as:
[tex]\[ p = 1700 + 10h \][/tex]
We need to solve for [tex]\( h \)[/tex] (the number of extra hours worked):
[tex]\[ p = 1700 + 10h \][/tex]
First, isolate the term with [tex]\( h \)[/tex]:
[tex]\[ p - 1700 = 10h \][/tex]
Next, solve for [tex]\( h \)[/tex]:
[tex]\[ h = \frac{p - 1700}{10} \][/tex]
Thus, the correct answer is:
[tex]\[ \boxed{\frac{p - 1700}{10}} \][/tex]
Therefore, the correct option is:
B. [tex]\( \frac{p-1700}{10} \)[/tex]
