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.

Question

x ≥ 1.95
x ≥ 4,500
x ≥ 60
x ≥ 20

Answer 1

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

1. Subtract 300 from both sides:

   \[ 15x \geq 600 - 300 \]

   This simplifies to:

   \[ 15x \geq 300 \]

2. Now, divide both sides by 15:

   \[ x \geq \frac{300}{15} \]

   Simplifying the right side gives:

   \[ x \geq 20 \]

Therefore, Suzie needs to make at least 20 sales to meet her goal of at least $600. The correct answer is:

x ≥ 20

Answer 2

Ellie is saving to buy a phone. She wants to have at least $299 saved before buying one. She currently has $213 saved, and she receives $10 a week as an allowance from her parents. After how many weeks will Ellie have enough money saved? Write an inequality that could be used to solve this problem.
213w + 10 ≥ 299, where w is the number of weeks.
10w + 213 is less than or equal to 299, where w is the number of weeks.
10w + 213 ≥ 299, where w is the number of weeks.
213w + 10 ≤ 299, where w is the number of weeks.

Answer 3

To find how many weeks Ellie needs to save in order to have at least $299, we can set up the following inequality based on her current savings and her weekly allowance.

Ellie currently has $213 saved, and she receives $10 per week. Let \( w \) represent the number of weeks. After \( w \) weeks, her total savings can be expressed as:

\[ 213 + 10w \]

She wants this amount to be at least $299, so we set up the inequality:

\[ 213 + 10w \geq 299 \]

Now, looking at the answer choices, the correct inequality that could be used to solve this problem is:

10w + 213 ≥ 299, where w is the number of weeks.

This inequality accurately represents her savings situation.