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≥20
x greater than or equal to 20

x≥60
x greater than or equal to 60

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

x≥1.95

1 answer

To solve the inequality \( 15x + 300 \geq 600 \) where \( x \) represents the number of sales:

  1. Start by isolating the term with \( x \): \[ 15x + 300 \geq 600 \]

  2. Subtract 300 from both sides: \[ 15x \geq 600 - 300 \] \[ 15x \geq 300 \]

  3. Now, divide both sides by 15: \[ x \geq \frac{300}{15} \] \[ x \geq 20 \]

Thus, Suzie needs to make at least 20 sales in order to earn at least $600 this week.

So, the correct response is:

x ≥ 20
x greater than or equal to 20