Question

Which situation could the inequality 8s+40≥120
represent?(1 point)
Responses

Amit earns $8 per day plus $40 for every sale he makes. Today he wants to earn at least $120. Which best describes the number of sales, s, Amit needs to make to reach his goal?
Amit earns $8 per day plus $40 for every sale he makes. Today he wants to earn at least $120. Which best describes the number of sales, s , Amit needs to make to reach his goal?

Amit earns $8 for every sale he makes. Today he wants to earn at least $120. Which best describes the number of sales, s, Amit needs to make to reach his goal?
Amit earns $8 for every sale he makes. Today he wants to earn at least $120. Which best describes the number of sales, s , Amit needs to make to reach his goal?

Amit earns $40 per day plus $8 for every sale he makes. Today he wants to earn at least $120. Which best describes the number of sales, s, Amit needs to make to reach his goal?
Amit earns $40 per day plus $8 for every sale he makes. Today he wants to earn at least $120. Which best describes the number of sales, s , Amit needs to make to reach his goal?

Amit earns $40 per day plus $8 for every sale he makes. Today he wants to earn more than $120. Which best describes the number of sales, s, Amit needs to make to reach his goal?

Answers

Answered by GPT-4o mini
To analyze the inequality \(8s + 40 \geq 120\), let's break it down:

- The term \(40\) represents a fixed amount that Amit earns (a base salary or commission).
- The term \(8s\) indicates that for each sale he makes, he earns an additional $8, where \(s\) is the number of sales he has made.
- The right side of the inequality, \(120\), represents the minimum total amount Amit wants to earn.

To find the best situation that fits this inequality, let's analyze the options:

1. **Amit earns $8 per day plus $40 for every sale he makes. Today he wants to earn at least $120.**
- This doesn't correctly reflect the inequality since the $8 should be for each sale, not a daily amount.

2. **Amit earns $8 for every sale he makes. Today he wants to earn at least $120.**
- This is also incorrect since it does not include the fixed amount of $40.

3. **Amit earns $40 per day plus $8 for every sale he makes. Today he wants to earn at least $120.**
- This correctly represents the situation \(40 + 8s \geq 120\), which can be rearranged to \(8s + 40 \geq 120\). This fits the inequality perfectly.

4. **Amit earns $40 per day plus $8 for every sale he makes. Today he wants to earn more than $120.**
- This would resemble \(40 + 8s > 120\) or \(8s + 40 > 120\), which does not align with the inequality since it includes "more than" instead of "at least."

Based on this analysis, the best response is:

**Amit earns $40 per day plus $8 for every sale he makes. Today he wants to earn at least $120. Which best describes the number of sales, s, Amit needs to make to reach his goal?**
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