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 ≥

Question

600, where x equals the number of sales, to help figure this out. Solve her inequality. (1 point)
Responses

x ≥
60
x is greater than or equal to 60

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

x ≥
1.95
x is greater than or equal to 1.95

x ≥
20
x is greater than or equal to 20

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. (1 point)
Responses

10w + 213 ≥
299, where w is the number of weeks.
10w + 213 is greater than or equal to 299, where w is the number of weeks.

213w + 10 ≤
299, where w is the number of weeks.
213w + 10 is less than or equal to 299, where w is the number of weeks.

10w + 213 ≤
299, where w is the number of weeks.
10w + 213 is less than or equal to 299, where w is the number of weeks.

213w + 10 ≥
299, where w is the number of weeks.
213w + 10 is greater than or equal to 299, where w is the number of weeks.

Answer 1

To solve the first problem:

Suzie's inequality is given as: \[ 15x + 300 \geq 600 \]

Let's solve for \( x \):

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

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

So, Suzie needs to make at least \( 20 \) sales. The correct response is: "x ≥ 20, x is greater than or equal to 20."

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For the second problem regarding Ellie:

She currently has $213 saved and gets $10 per week. She wants to save at least $299.

We can write the inequality as: \[ 10w + 213 \geq 299 \]

where \( w \) is the number of weeks.

Therefore, the correct response is: "10w + 213 ≥ 299, where w is the number of weeks."