linear, exponential, or neither?
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Answer:
A) Linear
Step-by-step explanation:
For a linear relation, there will be a constant rate of change
For an exponential relationship, there will be a multiplicative rate of change.
For x-values, there is a constant difference of
[tex]d = 4 - - 3 = 11 - 4 = 18 - 11 = 7[/tex]
For the y-values, there is a constant difference of
[tex]b = 1 - - 3 = 5 - 1 = 9 - 5 = 4[/tex]
The rate of change of the function represented by the table is
[tex]m = \frac{change \: in \: y}{change \: in \: x} = \frac{4}{7} [/tex]
The equation can be derived as:
[tex]y + 3 = \frac{4}{7} (x + 3)[/tex]
This is a linear relationship