Final answer:
In this question, we need to determine the linear function rule for a set of given ordered pairs. By substituting the values of the ordered pairs into each option, we can determine which one satisfies all the pairs. The correct linear function rule is y=x+14.
Step-by-step explanation:
In this question, the student is asked to determine the linear function rule for the given ordered pairs. The options are A: y=x+14, B: y=−4x+1, C: y=4x+1, and D: y=4x−1. To determine the correct linear function rule, we need to look at the given ordered pairs and see which rule satisfies all of them. Let's examine each option:
A. y=x+14: If we substitute the given ordered pairs into this equation, we can see if they are satisfied. For example, for the ordered pair (2, 16), substituting x=2 and y=16 into the equation, we get 16=2+14, which is true. Similarly, for the other ordered pairs, this equation is satisfied. Therefore, option A is the correct answer.
So, the linear function rule for the given ordered pairs is y=x+14.