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

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 is greater than or equal to 20

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

Answer 1

To solve Suzie's inequality 15x + 300 ≥ 600, we need to find the number of sales (x) that will make her total earnings for the week at least $600.

First, let's subtract 300 from both sides of the inequality to isolate the term with x:

15x + 300 - 300 ≥ 600 - 300

This simplifies to:

15x ≥ 300

Now let's divide both sides by 15 to solve for x:

15x / 15 ≥ 300 / 15

This gives us:

x ≥ 20

Therefore, Suzie needs to make at least 20 sales to earn $600 or more this week. The correct response is:

x ≥ 20
x is greater than or equal to 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. (1 point)

Responses

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 greater 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.
Question 2
Solve the inequality and make sure to show each step. After how many weeks will Ellie have enough money saved?

(You must show all work for full credit)

Answer 3

Let's write the correct inequality first. Ellie currently has $213 and receives $10 per week. She wants to save at least $299. The amount of money Ellie will have after w weeks is her current savings plus 10 times the number of weeks.

The correct inequality that represents this situation is:

10w + 213 ≥ 299

This inequality means that the amount of money Ellie will have after w weeks (her current savings plus $10 per week) should be greater than or equal to $299 (the amount she wants to save).

Now, let's solve this inequality to find out after how many weeks Ellie will have enough money saved.

Subtract 213 from both sides to isolate the term with w:

10w + 213 - 213 ≥ 299 - 213

This simplifies to:

10w ≥ 86

Now divide both sides by 10 to solve for w:

10w / 10 ≥ 86 / 10

This gives us:

w ≥ 8.6

Since Ellie cannot work a fraction of a week, we need to round up to the nearest whole number. Therefore, Ellie will have saved enough money after 9 weeks.

So, after how many weeks will Ellie have enough money saved? The answer is 9 weeks.

Answer 4

To solve the inequality 15x + 300 ≥ 600, we can follow these steps:

Step 1: Subtract 300 from both sides of the inequality:
15x + 300 - 300 ≥ 600 - 300
15x ≥ 300

Step 2: Divide both sides of the inequality by 15 to solve for x:
15x/15 ≥ 300/15
x ≥ 20

Therefore, the answer is x ≥ 20. This means Suzie will need to make at least 20 sales in order to earn at least $600 this week.