To determine how many more points Pocahontas needs to score at least 70, we calculate the difference between her current score and the minimum required score. With each question worth 5 points, we set up an inequality, 5x >= 40, where x is the number of additional questions she needs to answer correctly.
The question asks us to find the inequality representing the additional points Pocahontas must earn to achieve a minimum grade of 70 if she has already answered 6 questions correctly for 5 points each. First, we calculate the points Pocahontas has already earned: 6 questions × 5 points each = 30 points. Since the minimum grade is 70 points, she needs to earn at least 70 - 30 = 40 more points. Let's define x as the number of additional questions she must get right. Each question is worth 5 points, so 5x is the number of points she needs to earn from these questions. Therefore, the inequality representing the situation is 5x + 30 ≥ 70, which simplifies to 5x ≥ 40.
To solve this problem, we perform a step-by-step calculation. Pocahontas has secured 30 points by answering 6 questions correctly. Knowing that each question is worth 5 points, we seek to find out how many more questions (let's call this number x) she needs to answer correctly to reach the 70-point threshold. By setting up an inequality, 5x + 30 ≥ 70, we account for the points she already has (30) and the points each new correct answer will add (5x). Solving this inequality gives us the minimum number of questions she needs to get right to achieve the minimum grade of 70 points.
In conclusion, the inequality 5x ≥ 40 shows the requisite points Pocahontas needs to earn to meet or exceed the minimum test score of 70 points, assuming she continues to correctly answer each question for 5 points.