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Tony is a salesperson who earns $560 per week plus $60 for each sale he makes. This week, he wants to earn at least $920. Write and solve an inequality that represents the number of sales Tony must make this week to earn at least $920. Write a sentence to represent the solution set in the context of the problem.

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Madison004

Answer:

920 = 560 + 60(x)  He must make at least 6 sales to have earned $920

Step-by-step explanation:

     Inequality for the situation → 60x+ 560 ≥ 920

     Tony must make a sale of 6 to earn at least $920.

Formation of an inequality from a verbal statement:

  •    Define the variable first, then form an equation as per given

            statement.

  •    If the statement ends with at least, inequality will be denoted by

            the sign (≥).

Given in the question,

  • Tony earns $560 per week as a fixed amount and $60 for each sale.
  • He wants to earn at least $920 this week.

Let the number of sales Tony does every week = x

Expression for his weekly earning → $(60x + 560)

If he wants to earn at least $920,

Inequality representing the situation will be,

60x+ 560 ≥ 920

Simplify the inequality for the solution,

60x + 560 - 560 ≥ 920 - 560

60x ≥ 360

x ≥ 6

     Therefore, Tony must make a sale of 6 to earn at least $920.

Learn more about the solution of inequality here,

https://brainly.com/question/544043?referrer=searchResults