Question

Joseph and Nathan are trying to get their swole on bench press. Joseph’s starting bench press weight is 135lbs and he increases his weight by 2 lbs each week. Nathan’s starting bench press weight is 110lbs but increases his weight by 4lbs a week. Write an inequality that shows how many weeks w, it will take Nathan to lift more than Joseph.

A) 110w + 4 > 135w + 2
B) 135w + 2 > 110w + 4
C) 135w > 110w + 4
D) 110w + 4 < 135w + 2

Answer 1

The inequality that shows how many weeks it will take Nathan to lift more than Joseph is 110w + 4 > 135w + 2 (Option A). Nathan's weight, represented as 110 + 4w, needs to be greater than Joseph's weight, represented as 135 + 2w, to indicate that Nathan will eventually lift more weight as the weeks progress.

Step-by-step explanation:

The inequality that shows how many weeks it will take Nathan to lift more than Joseph is 110w + 4 > 135w + 2 (Option A).

To understand why this inequality represents the situation, let's break it down:

• 110w represents Nathan's starting weight plus the increase of 4lbs each week (110 + 4w)
• 135w represents Joseph's starting weight plus the increase of 2lbs each week (135 + 2w)

Therefore, the inequality states that Nathan's weight (110 + 4w) should be greater than Joseph's weight (135 + 2w). This ensures that Nathan will eventually lift more weight than Joseph as the weeks progress.