50.1k views
1 vote
Your weekly base salary is $150. You earn $20 for each cell phone that you sell. Write & solve an inequality that represents the number of cell phones you must sell to make at least $750 a week.

User Ian Ash
by
8.4k points

1 Answer

3 votes

Final answer:

To earn at least $750 a week with a base salary of $150 and a commission of $20 per cell phone sold, you need to sell at least 30 cell phones.

Step-by-step explanation:

To solve the problem, you need to calculate the number of cell phones you must sell to earn at least $750 in one week. Let's use x to represent the number of cell phones sold. The inequality will represent your base salary plus the commission from selling each phone being at least $750.

Your weekly base salary is $150, and you earn $20 for each cell phone that you sell. To find out how many cell phones you need to sell to make at least $750, we can set up the inequality like this:

150 + 20x ≥ 750

Now, solve for x:

  • Subtract 150 from both sides of the inequality:
  • Divide both sides by 20 to find x: x ≥ 30

Therefore, you must sell at least 30 cell phones to make a minimum of $750 in a week.

User DJG
by
8.1k points