Answer:
Option D. 13122 is the answer.
Step-by-step explanation:
As we can see from the table having interval and average rate of change, figures under average rate of change are forming a geometric sequence.
Sequence is 2, 6, 18 , 54, 162, 486.
and we have to find the average rate of change from x = 8 to x = 9, means we have to find 9th term of the given sequence.
Now we know that explicit formula of the sequence can be written as 
where Tn is the nth term of the sequence.
a = first term
r = common ratio
n = number of the term
Now from this explicit formula we can find the 9th term of the sequence.
From the given table
a = 2, r = 3, n = 9

T9 = 13122
Therefore Option D. 13122 will be the answer.
The answer is A. 42
Solution:
Let x= ones digit, y=tens digit
1st condition (original number) : 7(x+y)=10y + x
2nd condition (new number by reversing the digits): 18+x+y=10x+y
simplifying:
1st condition: 6x=3y
2nd condition: x=2
substituting x=2 to 6x=3y
<span>y=4</span>
Answer:
C
Step-by-step explanation:
5 + 6 + 4 = 15
Small - 5/15 = 1/3
Large - 4/15 = 4/15
The probability that he grabs a Large-sized shirt would be 4/15, which is around 26.7%. After that, he will grab a Small-sized shirt, which would have a probability of 33.33%. After combining the two, the only answer choice that could possibly make any sense is C. (using the process of elimination.)