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Hello! It's hard to understand your tables, so I could help you in a general way. Remember you have to write clear questions in order to get good and exact answers.
When we say that varies directly as or is directly proportional to , we say that can be written in terms of as the following form:
Where is the constant of variation or the constant of proportionality.
So this is a line that passes through the origin. So we can establish a table as follows:
ANSWER
EXPLANATION
We can see that, the difference in y-values from the table is 3
Also the difference in the x-values is 3.
Hence the slope is
Let y=mx +c be function equation.
We put m=1 to get,
From the table when x=2, y=10.
This implies that,
Hence the function equation is
The expression equivalent to this is 16