Question

your weekly base salary is $150. you earn $20 for each cell phone that you sell. what is the minimum amount you can earn in a week? $150 write an inequality that represents the number of cell phones you must sell to make at least $630 a week. 150 + 20p ≥ 630 cell phones write an inequality that represents the number of cell phones you must sell to make at least $750 a week. 150 + 20p ≥ 750 cell phones the company policy is that as a part - time employee, the maximum you can earn each week is $950. write an inequality that represents the number of cell phones you can sell each week. 150 + 20p ≥ 950 cell phones

Explanation:

Step1: Identify base - salary and per - unit earnings

The base salary is $150$ and the earnings per cell - phone sold is $20$. Let $p$ be the number of cell phones sold.

Step2: For minimum earnings

If no cell phones are sold ($p = 0$), the earnings is just the base salary, so the minimum is $150$.

Step3: For at least $630$ a week

The total earnings is the sum of the base salary and the earnings from selling $p$ cell phones. So, $150+20p$ must be greater than or equal to $630$, giving $150 + 20p\geq630$.

Step4: For at least $750$ a week

Similarly, $150+20p$ must be greater than or equal to $750$, so $150 + 20p\geq750$.

Step5: For maximum earnings of $950$ a week

The total earnings $150 + 20p$ must be less than or equal to $950$, resulting in $150 + 20p\leq950$.

Answer:

1. The minimum amount you can earn in a week is $150$.
2. The inequality for making at least $630$ a week: $150 + 20p\geq630$
3. The inequality for making at least $750$ a week: $150 + 20p\geq750$
4. The inequality for the maximum earnings of $950$ a week: $150 + 20p\leq950$