Which statement best explains whether the table represents a linear or nonlinear function?
1 answer:
The attached file is the points graphed.
So what is a linear function?
<span>If it is a linear function, its graph will be a straight line.
</span><span>It also must have either one or two variables. If there is another variable is, it must be a known variable or constant.
</span>
The points and the graph satisfy both of these things, so we know the answer is not B or D.
So, let's look at both answer choices.
<span>
A.It is a linear function because the input values are increasing.
C.</span><span>It is a linear function because there is a constant rate of change in both the input and output.
Well, according to our criteria, the input values don't need to be increasing for it to be linear. But, we do know that there must be a constant rate of change in both the input and output.
So, the answer is C. </span>It is a linear function because there is a constant rate of change in both the input and output.<span>
</span>
So what is a linear function?
<span>If it is a linear function, its graph will be a straight line.
</span><span>It also must have either one or two variables. If there is another variable is, it must be a known variable or constant.
</span>
The points and the graph satisfy both of these things, so we know the answer is not B or D.
So, let's look at both answer choices.
<span>
A.It is a linear function because the input values are increasing.
C.</span><span>It is a linear function because there is a constant rate of change in both the input and output.
Well, according to our criteria, the input values don't need to be increasing for it to be linear. But, we do know that there must be a constant rate of change in both the input and output.
So, the answer is C. </span>It is a linear function because there is a constant rate of change in both the input and output.<span>
</span>
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Answer:
Step-by-step explanation:
The recursive rule is a term defined in terms of other terms in the sequence.
The is a geometric sequence because it has a common ratio.
The common ratio can be found by dividing a term by previous term.
For example, all of these are equal:
They are all equal to .
So we are saying:
More formally:
.
Multiply both sides by :
When doing recursive form, you need to state a term of the sequence (or more depending on the recursive form you have).
So the first term is 2.
So the full thing for the answer is: