Question

consider the inequality $3x + 7 \geq 25$. complete the following word problem represented by the inequality. drag the correct word or number into each box. jessica’s goal is to read \boxed{} books this year. she has read \boxed{} already, and she plans to read \boxed{} every month. options: 25, 7, more than, fewer than, at least, at most, 3

Explanation:

Step1: Analyze the inequality \(3x + 7\geq25\)

The inequality represents Jessica's reading goal. Let's break down each part. The total goal is related to the right - hand side of the inequality, the number of books she has already read is the constant term, and the number of books she reads per month is related to the coefficient of \(x\), and the inequality sign gives the relationship between the total number of books read (already read + books read per month times number of months) and her goal.

Step2: Determine the number of books for each box

• For the first box (total goal): The inequality is \(3x + 7\geq25\), so her goal is to read at least 25 books. So we put 25 here.
• For the second box (books already read): The constant term in the inequality is 7, so she has read 7 books already. So we put 7 here.
• For the third box (books per month): The coefficient of \(x\) is 3, and since there are 12 months in a year, but from the inequality \(3x+7\geq25\), \(x\) represents the number of books per month (assuming \(x\) is the number of books per month and we are considering the total for the year, but the coefficient is 3). So we put 3 here. And the inequality sign \(\geq\) means at least.

Answer:

First box (total goal): 25; Second box (books already read): 7; Third box (books per month): 3; The word for the inequality relationship: at least