Briana is writing a 60-paper for a law school class. She estimates that she will average 45 words per minute while typing. If one page contains approximately 50 words, which of the following correctly estimates the number of pages, p, remaining as a function of the number of minutes, m, that Briana types ?

Options

A. `p (m) =60- (9m)/(100)`
B. `p (m) =(60-100)/(9m)`
C. `p (m) =60 - (100)/(9m)`
D. `p (m) = (60- 9m)/(100)`

Explanation

To solve the problem, we need to determine the number of pages remaining for Briana as a function of the number of minutes she types. Let's break it down step by step.

### Step-by-Step Solution:

1. **Identify the Total Number of Pages**:
Briana has to write a total of 60 pages.

2. **Determine Words Typed per Minute**:
Briana types at a rate of 45 words per minute.

3. **Calculate Total Words Typed in m Minutes**:
If she types for \( m \) minutes, the total number of words typed is given by:
\[ \text{Total words} = 45 \times m \]

4. **Determine Words per Page**:
Each page contains approximately 50 words.

5. **Calculate the Number of Pages Typed**:
To find out how many pages Briana has typed in \( m \) minutes, we need to convert the total words typed into pages. Since one page contains 50 words, the number of pages typed can be calculated as:
\[ \text{Pages typed} = \frac{\text{Total words}}{\text{Words per page}} = \frac{45m}{50} \]
Simplifying this gives:
\[ \text{Pages typed} = \frac{45m}{50} = \frac{9m}{10} \]

6. **Calculate Remaining Pages**:
To find the number of pages remaining, we subtract the number of pages typed from the total number of pages:
\[ \text{Remaining pages} = \text{Total pages} - \text{Pages typed} = 60 - \frac{9m}{10} \]

7. **Final Function**:
Therefore, the function \( p(m) \) representing the number of pages remaining as a function of the number of minutes \( m \) is:
\[ p(m) = 60 - \frac{9m}{10} \]

### Final Answer:
The correct function that estimates the number of pages remaining as a function of the number of minutes is:
\[ p(m) = 60 - \frac{9m}{10} \]