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A restaurant server's monthly wage is [tex]$1700. He also earns $[/tex]10 for each additional hour he works. If he was paid amount [tex]\( p \)[/tex] dollars last month, how many extra hours did he work?

A. [tex]\(\frac{p + 1700}{10}\)[/tex]

B. [tex]\(\frac{p - 1700}{10}\)[/tex]

C. [tex]\(10(p + 1700)\)[/tex]

D. [tex]\(10(p - 1700)\)[/tex]

Sagot :

GinnyAnswer
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]
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