Final answer:
Among the given tables, option b) represents the same rule as the numerical expressions written by Hillary.
Step-by-step explanation:
In this question, Hillary generated a number pattern by adding a constant number to a starting value. The expressions she wrote were 3+1, 3+2, and 3+3, which can be simplified to 4, 5, and 6. Now, we need to determine which table represents the same rule. Looking at the options:
- a) input 9,10,11 output 12,13,14
- b) input 9,10,11 output 13,14,15
- c) input 9,10,11 output 11,12,13
- d) input 9,10,11 output 27,30,33
We can see that option b) matches the pattern. When we add 3 to the inputs 9, 10, and 11, we get the outputs 12, 13, and 14, which is consistent with the rule established by Hillary's expressions. Therefore, the correct answer is option b).