Final answer:
The pattern in the data shows a linear relationship where y is 8 times x. To find the missing ordered pair for x=3, y would be 24, making the correct answer option b (3, 24).
Step-by-step explanation:
The question asks which ordered pair completes the table that shows a pattern of x- and y-values. To determine the missing ordered pair, we observe the given data: (0, 0), (1, 8), (2, 16), and (4, 32). A clear pattern appears where the y-value is always 8 times the x-value. This indicates a linear relationship between x and y, which can be described by the equation y = 8x.
Following this pattern, to find the y-value when x = 3, we simply multiply 3 by 8, resulting in y = 24. Therefore, the ordered pair that completes this table is (3, 24).
Considering the given options, option (b) which is (3,24) is the correct answer, as it fits the observed linear relationship between x and y values.