Jamila is writing a college admission essay with a maximum word count of 1,000 words. So far, Jamila has written 685 words. At most, how many more words can Jamila write without going over the word count limit? Which inequality best models this problem?(1 point)

Question

Responses

w−685≤1,000
w minus 685 less-than-or-equal-to 1,000

w+685≤1,000
w plus 685 less-than-or-equal-to 1,000

w−685≥1,000
w minus 685 greater-than-or-equal-to 1,000

w+685≥1,000
w plus 685 greater-than-or-equal-to 1,000

Answer 1

To determine how many more words Jamila can write without exceeding the 1,000-word limit, we can start by letting \( w \) represent the number of additional words she can write. The total number of words she will have written after adding these additional words is \( 685 + w \).

Since she cannot exceed 1,000 words, we set up the following inequality:

\[ 685 + w \leq 1,000 \]

To isolate \( w \), we can subtract 685 from both sides:

\[ w \leq 1,000 - 685 \]

This simplifies to:

\[ w \leq 315 \]

The inequality that best models the situation, based on the choices provided, is:

\[ w + 685 \leq 1,000 \]

So the correct response is:

w + 685 ≤ 1,000.