Question

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

D. 38x + 1,450 > 4,000

Explanation:

Answer 2

D. 38x + 1,450 > 4,000

Explanation:

We want to know the number of minutes she will take to finish the paper. We already have a restriction, she will write more than 4000 words, so the expression has to include
`>4000`.

On the other hand, it's said that Amy writes 38 words per minute. So, a certain amount of word it would take
`38x`, where
`x` is minutes.

However, we have to consider that Amy already has 1450 words finished, so to finish her final paper she needs to type 4000-1450 = 2550 words, and the expression must include this.

Therefore option D includes all these elements, because 38x + 1,450 > 4,000 is the same as 38x > 4,000 - 1450, or 38x >2550.