Suzie earns $300 per week plus $15 per sale at her job. She is hoping to make at least $600 this week. How many sales will she need to make? Suzie writes the inequality 15x + 300 ≥ 600, where x equals the number of sales, to help figure this out. Solve her inequality. (1 point)

Responses

x ≥ 4,500
x is greater than or equal to 4,500

x ≥ 60
x is greater than or equal to 60

x ≥ 1.95
x is greater than or equal to 1.95

x ≥ 20

1 answer

To solve the inequality \( 15x + 300 \geq 600 \), we'll follow these steps:

  1. Subtract 300 from both sides of the inequality: \[ 15x \geq 600 - 300 \] \[ 15x \geq 300 \]

  2. Divide both sides by 15: \[ x \geq \frac{300}{15} \] \[ x \geq 20 \]

Therefore, Suzie needs to make at least 20 sales to earn at least $600 this week.

The correct response is: x ≥ 20.