Final answer:
The expression that represents the total number of students at the summer camp for three years is (3/2)s - 54.
Step-by-step explanation:
To represent the total number of students at the summer camp for all three years, we need to add up the number of students in each year. Let's break it down:
In 2010, there were s students.
In 2011, there were half as many students as the previous year, so the number of students would be s/2.
In 2012, there were 54 fewer students than in 2010, so the number of students would be s-54.
To represent the total number of students, we add these three expressions together: s + s/2 + s-54. This can also be simplified to (3/2)s - 54.