Final answer:
The correct function notation to represent the visitor data at 2:30 pm is q(2.5) = 1.6, representing 1.6 million visitors 2.5 hours after the news was published.
Step-by-step explanation:
The question given is trying to understand function notation based on the context of a news article's visitors over time. To determine which statement in function notation correctly represents the visitor data at 2:30 pm, we have to recognize that the function q is defined as the number of visitors (in thousands) to the website h hours after the news was published.
Since the news was published at noon and by 2:30 pm, it had been 2.5 hours (as there are 2 and a half hours from 12 pm to 2:30 pm). The website had 1.6 million visitors, which can be expressed as 1600 thousand visitors (since 1 million equals 1000 thousands). Therefore, the correct notation to reflect this would be q(2.5) = 1.6.