Final answer:
The correct ordered pair representing a machine's bottling rate on a graph is (45, 90), meaning the machine caps 45 bottles in 90 seconds. Other given pairs suggest rates that are either too slow or unrealistically fast.
Step-by-step explanation:
The question is asking us to determine which ordered pair correctly represents a situation described by a graph. An ordered pair is a pair of numbers used to locate a point on a graph, usually written in the form (x, y), where 'x' is the value on the horizontal axis and 'y' is the value on the vertical axis. In this context, the first number of the ordered pair represents the number of bottles capped by a machine, and the second number represents the time taken to cap those bottles in seconds.
Looking at the options provided, the correct ordered pair should reflect the most reasonable rate of bottling based on the given numbers. The ordered pair (45, 90) suggests that the machine caps 45 bottles in 90 seconds, presenting a plausible production rate. In contrast, the pair (45, 900) implies either 45 bottles in 900 seconds (which is exceedingly slow) or 900 bottles in 45 seconds (which is unrealistically fast). Lastly, (900, 45) implies 900 bottles in 45 seconds, which is also highly implausible due to the extreme speed.
Thus, the ordered pair that represents the situation correctly is (45, 90), and it means the machine caps 45 bottles in 90 seconds.