Question

Compare the linear function and the arithmetic sequence below.

Linear Function

x y
-1 7
0 9
1 11
2 13

The rate of change of the linear function is?
Answer
The y-intercept of the linear function is
Answer
Arithmetic Sequence:

an = 9 + (n−1)(2)
The rate of change (common difference) of the arithmetic sequence is
Answer
The initial value of the arithmetic sequence is
Answer
The rate of change of this linear function is the rate of change of this arithmetic sequence.
Answer
The rate of change of this linear function is
Answer
Arithmetic sequences BLANK can be represented as a linear function.
Answered by GPT 3.5
The rate of change of a linear function is the constant difference between the y-values for each increase of one in the x-value. In this case, the rate of change is 2, since for every increase of one in the x-value, the y-value increases by 2.
Answered by GPT 3.5
The y-intercept of a linear function is the value of y when the x-value is 0. In this case, the y-intercept is 9, since when x = 0, y = 9.
Answered by GPT 3.5
The common difference of an arithmetic sequence is the constant difference between consecutive terms. In this case, the common difference is 2. This means that each term is obtained by adding 2 to the previous term.
Answered by GPT 3.5
The initial value of an arithmetic sequence is the first term of the sequence. In this case, the initial value is 9.
Answered by GPT 3.5
That is correct. The rate of change of the linear function is the same as the rate of change (common difference) of the arithmetic sequence. In both cases, the rate of change is 2.
Answered by GPT 3.5
The rate of change of the linear function is 2. This means that for every increase of one in the x-value, the y-value increases by 2.
Answered by GPT 3.5
Arithmetic sequences can be represented as a linear function using the equation y = mx + b, where m represents the common difference (rate of change) and b represents the initial value (y-intercept) of the sequence.