Questions: Systems of Two-Variable Linear Inequalities: Mastery Test 2. Solve this system by the system of inequalities: Which solution could be represented by this system of inequalities? 4x + 5y ≥ 180 x + y ≤ 40 A. The owner wants to sell at least 40 items of clothing. The store sells no more than 180 pounds of oranges in a day, and neither item's daily sales will exceed 40. B. On a math test, questions are worth 4 or 5 points each. The test has 40 questions, and a maximum score of 180 points. C. At a pharmacy, pills of generic and brand name cost 4 and 5 respectively. The maximum number of pills sold per day is 40, and the store wants to make at least 180 per day. D. At a pharmacy, space is limited to 40 boxes of cotton balls and bandages. Cotton balls cost 4 and bandages 5, with a minimum sales revenue of 180. O A O B O C O D Next Previous

 Systems of Two-Variable Linear Inequalities: Mastery Test

2. Solve this system by the system of inequalities:
Which solution could be represented by this system of inequalities?
4x + 5y ≥ 180
x + y ≤ 40

A. The owner wants to sell at least 40 items of clothing. The store sells no more than 180 pounds of oranges in a day, and
neither item's daily sales will exceed 40.

B. On a math test, questions are worth 4 or 5 points each. The test has 40 questions, and a maximum score of 180 points.

C. At a pharmacy, pills of generic and brand name cost 4 and 5 respectively. The maximum number of pills sold per day is 40, and
the store wants to make at least 180 per day.

D. At a pharmacy, space is limited to 40 boxes of cotton balls and bandages. Cotton balls cost 4 and bandages 5, with a minimum sales revenue of 180.

O A
O B
O C
O D

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Transcript text: Systems of Two-Variable Linear Inequalities: Mastery Test 2. Solve this system by the system of inequalities: Which solution could be represented by this system of inequalities? 4x + 5y ≥ 180 x + y ≤ 40 A. The owner wants to sell at least 40 items of clothing. The store sells no more than 180 pounds of oranges in a day, and neither item's daily sales will exceed 40. B. On a math test, questions are worth 4 or 5 points each. The test has 40 questions, and a maximum score of 180 points. C. At a pharmacy, pills of generic and brand name cost $4 and $5 respectively. The maximum number of pills sold per day is 40, and the store wants to make at least $180 per day. D. At a pharmacy, space is limited to 40 boxes of cotton balls and bandages. Cotton balls cost $4 and bandages $5, with a minimum sales revenue of $180. O A O B O C O D Next Previous
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Solution

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Solution Steps

Step 1: Understanding the Inequalities

We are given the system of inequalities:

  1. \(4x + 5y \geq 180\)
  2. \(x + y \leq 40\)

Here, \(x\) and \(y\) represent quantities related to a specific scenario. The first inequality indicates a minimum requirement, while the second indicates a maximum limit.

Step 2: Evaluating the Scenarios

We need to evaluate each scenario to see which one fits the given inequalities:

  • Scenario A: Discusses selling clothing and oranges, which does not align with the inequalities.
  • Scenario B: Involves a math test with point values and a maximum score, which also does not fit.
  • Scenario C: Relates to a pharmacy selling pills at prices of $4 and $5, with a maximum of 40 pills and a minimum revenue of $180. This scenario aligns with the inequalities.
  • Scenario D: Involves cotton balls and bandages, which does not match the inequalities.
Step 3: Conclusion

After evaluating the scenarios, we find that Scenario C is the only one that satisfies both inequalities.

Final Answer

The answer is \\(\boxed{C}\\).

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