Final answer:
The correct symbolic form that matches the conditional statement "If you are at least 18 years old, then you can register to vote" is Option A: p → q.
Step-by-step explanation:
The student is asked to match a symbolic form to the correct conditional statement, based on the given variables p: you are at least 18 years old and q: you can register to vote. Looking closely at the options provided, we need to determine which symbolic form correctly represents the logical relationship between the conditions described by p and q.
Option A, p → q, is a conditional statement that can be read as "If p, then q." This would mean if you are at least 18 years old (p), then you can register to vote (q), which appears to be a correct representation of the conditions.
Option B, q → p, would mean that if you can register to vote (q), then you are at least 18 years old (p). However, in practice, this might not always be true, as there could be other qualifications for registering to vote besides age. Moreover, this is not the way the law is typically expressed.
Options C (p ∧ q) and D (q ∧ p) both represent the conjunction of p and q, meaning that both conditions are true simultaneously. This doesn't describe the conditional relationship we are looking for.
Option E, ~p → ~q, would read as "If not p, then not q." This is the inverse of what we are trying to express.
Therefore, the symbolic form that matches the correct conditional statement is Option A: p → q.