Question

Select the correct answer.

Amy types at an average speed of 38 words per minute. She has already typed 1,450 words of her final paper, which will be more than 4,000 words. Which inequality can be used to solve for x, the number of minutes it will take Amy to finish typing her paper?

A.
38x − 1,450 > 76
B.
38(x + 1,450) > 4,000
C.
38x > 4,000
D.
38x + 1,450 > 4,000

Answer 1

To determine which inequality can be used to solve for \( x \), the number of minutes it will take Amy to finish typing her paper, we need to break down the information given:

- Amy has already typed 1,450 words.
- The total word count of her paper will be more than 4,000 words.
- She types at a speed of 38 words per minute.

To find out how many more words she needs to type to reach more than 4,000 words, we can set up the situation as follows:

1. Let \( x \) equal the number of minutes it will take her to finish.
2. In \( x \) minutes, she will type \( 38x \) words.
3. The total number of words she will have typed after those \( x \) minutes will be \( 1,450 + 38x \).
4. We need this total to be greater than 4,000 words:

\[
1,450 + 38x > 4,000
\]

Therefore, the correct inequality is:

D. \( 38x + 1,450 > 4,000 \)