(a) We would use a graphing calculator to determine if the table represents a linear equation.
Using the table, we can generate the regression plot as shown below:
The plot shows that the table does not represent a linear function because not all the points lie on the line.
(b) Similar to what we did above. The graph of the data from the table is shown below:
We notice that all the points lie on the line. Hence, the table represents a linear function.
Recall that a linear function is represented as:
[tex]y\text{ = ax + b}[/tex]
Where a is the slope and b is the intercept.
From the graphing calculator, we have the constants derived to be:
a = 0.2, b =10.
Hence, the formula for the table is:
[tex]y\text{ = 0.2x + 10}[/tex]
