A student opens a checking account when she starts a new job so that her paychecks can be directly deposited into the account. Her balance can be computed using the expression `10nw+50m` where n is the number of hours she works every week and w is the number of weeks that she has worked so far. Assuming she does not withdraw any money from her account, which of the terms in the expressin most logically will change if the student geets a raise ?

Options

A. 10
B. n
C. w
D. The expression will not change if the student gets a raise.

Explanation

To solve the problem, we need to analyze the expression given for the student's account balance, which is:

\[ B = 10nw + 50m \]

Where:
- \( n \) = number of hours she works every week
- \( w \) = number of weeks she has worked so far
- \( m \) = some other factor (possibly a fixed amount or a different type of payment)

### Step-by-Step Solution:

1. **Identify the Components of the Expression**:
- The expression consists of two main parts: \( 10nw \) and \( 50m \).
- The term \( 10nw \) represents the total earnings based on hours worked and weeks worked.
- The term \( 50m \) represents another component of the balance, which we will assume is a fixed amount or a different source of income.

2. **Understanding the Impact of a Raise**:
- A raise typically means an increase in the hourly wage. In this case, the hourly wage is represented by the coefficient \( 10 \) in the term \( 10nw \).
- If the student receives a raise, the amount she earns per hour will increase, which directly affects the term \( 10nw \).

3. **Determine Which Term Changes**:
- Since the raise affects the hourly wage, the term \( 10 \) in \( 10nw \) will change.
- The number of hours worked per week (\( n \)) and the number of weeks worked (\( w \)) remain constant unless specified otherwise.

4. **Conclusion**:
- Therefore, the term that most logically will change if the student gets a raise is \( 10 \).

### Final Answer:
The term that will change if the student gets a raise is **10**.

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