To determine how many minutes it would take to finish typing a 2,000-word essay, we first need to establish a linear equation based on the information provided.
- Current Progress: The typist has already typed 100 words.
- Total Words needed: The target total is 2,000 words.
To find out how many more words need to be typed:
\[ \text{Words Remaining} = \text{Total Words} - \text{Current Words} \] \[ \text{Words Remaining} = 2000 - 100 = 1900 \]
Next, we know that the typist can type 76 words per minute. We can set up the equation to find the time (in minutes, \( t \)) required to type the remaining 1,900 words:
\[ \text{Words Typed} = \text{Typing Rate} \times \text{Time} \] \[ 1900 = 76t \]
Now, we solve for \( t \):
\[ t = \frac{1900}{76} \]
Calculating that gives:
\[ t \approx 25 \]
Thus, it will take approximately 25 minutes to finish typing the 2,000-word essay from where the typist is currently starting.
It will take 25 minutes to finish the 2,000-word essay.
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