several months ago, darnell got a puppy. At the time, the puppy weighed 8 pounds. since then, the puppy has steadily gained 5 pounds each month, and now weighs more than 40 pounds. Consider the following inequality: 8+5x>40. What does the x represents?

In the inequality \( 8 + 5x > 40 \), the variable \( x \) represents the number of months that have passed since Darnell got the puppy. 

Here’s a breakdown:
- The initial weight of the puppy was 8 pounds.
- The puppy gains 5 pounds each month.
- The expression \( 5x \) represents the total weight the puppy has gained after \( x \) months.
- The inequality \( 8 + 5x > 40 \) indicates that the current weight of the puppy (initial weight plus weight gained over \( x \) months) is greater than 40 pounds.

Therefore, \( x \) is the number of months that have passed since the puppy started gaining weight.

Would you like further details or have any questions?

Here are some related questions:
1. How would the inequality change if the puppy's initial weight was 10 pounds?
2. How many months will it take for the puppy to weigh more than 50 pounds?
3. What would the inequality look like if the puppy gained 4 pounds each month instead of 5?
4. How much would the puppy weigh after 6 months?
5. What if the inequality was \( 8 + 5x \geq 40 \)? How would that change the interpretation?

**Tip:** When dealing with word problems, identify what each part of the equation or inequality represents in the context of the problem. This will help you understand the relationship between the variables.

Explore how to solve the inequality 8 + 5x > 40 step-by-step. Understand the relationship between initial weight, monthly weight gain, and time passed since getting the puppy. Suitable for Grades 6-8.

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