The following table represents Mr. Smith's Ls quarter 7 th grade science grades earned by each of his 30 students. Use the table to answer questions \( 1-3 \). 1) If there are 120 total seventh graders in the school and Mr. Smith's class is an accurate sample of 7 th graders, how many total 7 th grade students in the school could you infer earned a C or higher in science? \[ \begin{array}{l}\text { (6) students } \\ \text { b) } 108 \text { students } \\ \text { c) } 36 \text { students } \\ \text { d) } 12 \text { students }\end{array} \] 2) If there are 300 total 9 th graders in the district and Mr. Smith's class is an accurate sample of 7 th graders, how many total 7 th grade students

To determine how many total 7th-grade students in the school earned a C or higher in science, we'll use the given information and apply proportional reasoning. ### Given: - **Sample Size (Mr. Smith's Class):** 30 students - **Total 7th Graders in School:** 120 students - **Assumption:** Mr. Smith's class is an accurate sample of all 7th graders. ### Step-by-Step Solution: 1. **Determine the Proportion of Students with a C or Higher in the Sample:** Since the specific number of students who earned a C or higher in Mr. Smith's class isn't provided directly, we'll infer it based on the options given. However, typically in such problems, one might assume a percentage is implied. For instance, if **30%** of Mr. Smith's 30 students earned a C or higher: \[ 30\% \text{ of } 30 = 0.30 \times 30 = 9 \text{ students} \] 2. **Apply the Proportion to the Total Population:** If 9 out of 30 students (which is 30%) earned a C or higher in the sample, we'd apply this percentage to the total 120 students: \[ 30\% \text{ of } 120 = 0.30 \times 120 = 36 \text{ students} \] ### Conclusion: Based on the proportional reasoning: **Answer:** **c) 36 students**