A high school will only offer a pottery class next year if at least 15 students sign up. So far, 9 students have signed up for the pottery class. Let x represent how many more students need to sign up. Which inequality describes the problem? Choices: (A)9 + x ≥ 15 (B)9 + x 15 Solve the inequality. Then, complete the sentence to describe the solution. At least ____ more students need to sign up.

Question

A high school will only offer a pottery class next year if at least 15 students sign up. So far, 9 students have signed up for the pottery class. Let x represent how many more students need to sign up. Which inequality describes the problem?   Choices: (A)9 + x ≥ 15 (B)9 + x > 15    Solve the inequality. Then, complete the sentence to describe the solution. At least ____ more students need to sign up.

Bytelearn · Accepted Answer

Identify Inequality:  Identify the correct inequality to represent the situation. We know 9 students have already signed up, and the class requires at least 15 students. The inequality should express that the total number of students (9 plus however many more sign up) needs to be at least 15. Solve Inequality:  Solve the inequality 9 + x ≥ 15 to find the minimum number of additional students needed. Subtract 9 from both sides to isolate x: 9 + x ≥ 15 x ≥ 15 - 9 x ≥ 6 Interpret Solution:  Interpret the solution of the inequality. Since x represents the additional students needed, and x ≥ 6, at least 6 more students need to sign up for the pottery class to meet the minimum requirement.

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