1. **Problem Statement:** We are given that each Division I school offers 12 softball scholarships per year. We need to complete the table for the number of scholarships given the the number of schools, and then write an expression for the total number of scholarships based on the number of schools. 2. **Understanding the problem:** Each school offers 12 scholarships, so the total scholarships depend on how many schools there are. If $x$ is the number of schools, then the total scholarships $S$ is $12$ times $x$. 3. **Complete the table:** - For 6 schools: $S = 12 \times 6 = 72$ - For 8 schools: $S = 12 \times 8 = 96$ - For 13 schools: $S = 12 \times 13 = 156$ 4. **Define a variable and write an expression:** Let $x$ = number of schools. The expression for the number of scholarships is: $$S = 12x$$ This means for any number of schools $x$, multiply by 12 to get the total scholarships. **Final table:** | Number of Schools | Number of Scholarships | |-------------------|-----------------------| | 6 | 72 | | 8 | 96 | | 13 | 156 |