Question

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Linear Functions in Context Practice
Complete this assessment to review what you’ve learned. It will not count toward your grade.
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Question
A typist can type 76 words per minute. They started an essay and already have 100 words on the page. Create a linear equation, and use it to determine how many minutes would be needed to type a 2,000-word essay from where the typist is currently starting.(1 point)
It will take
minutes to finish the 2,000-word essay

Answer 1

To solve this problem, let's break it down step by step.

1. **Identify what we know**:
- Typist's speed: 76 words per minute.
- Words already typed: 100 words.
- Total words needed for the essay: 2,000 words.

2. **Calculate the remaining words to type**:
\[
\text{Remaining words} = \text{Total words} - \text{Words already typed}
\]
\[
\text{Remaining words} = 2000 - 100 = 1900 \text{ words}
\]

3. **Set up the linear equation**:
Let \( t \) be the time in minutes needed to finish typing the remaining words. Since the typist types 76 words per minute, the equation relating the time and the number of words is:
\[
76t = 1900
\]

4. **Solve for \( t \)**:
\[
t = \frac{1900}{76} \approx 25
\]

Therefore, it will take approximately **25 minutes** to finish typing the 2,000-word essay from where the typist currently is.