Answer:
Explanation:
In the table shown,
is how one would represent the behavior shown by the givens. In every single one of the
-
relationships given above, the
value is equal to taking the corresponding
value, multiplying it and adding
. Thus, if we were to take our
value,
, and plug it into our equation:
Extra Help + Tips:
Finding patterns and rules is a bit difficult to grasp if it is not taken in chunks. In this case, I saw that every given
value was a little more than
times the
value, figured out the difference,
, and checked with every relationship to make sure that the rule that I found was correct. "Start with the order of operations and backsolve from there" is the way that I learned to find patterns, but if your teacher wants your class to find patterns in a specific way or by using a specific method, use it before using mine. A few tips:
- Try looking for a relationship between the smallest and largest values of the table, what gave me a big hint on the rule for this table was seeing how both small numbers and large numbers differed in the relationship between
and
. - Don't use complicated operations to solve tables. In most cases addition, subtraction, division and multiplication are all you need for finding the rule.
Hope this helped :)