page 13 of 14

Question

Linear Functions in Context Practice
Complete this assessment to review what you’ve learned. It will not count toward your grade.
2 of 52 of 5 Items
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.