Compare the linear function and the arithmetic sequence below.

Question

Linear Function
X Y
-1 10
0 14
1 18
2 12

The rate of change of the linear function is:
Answer choices -1,10,4,14,0

The y-intercept of the liner function is:
Answer choices 0,10,-1,14,4

Arithmetic sequence (Explicit formula):
an = 14 + 4 (n - 1)

The rate of change (common difference) of the arithmetic sequence is:
Answer choices 4, n, n-1, 14

The initial value of arithmetic sequence is:
Answer choices 14, n, n -1, 4

The rate of change of this linear function is blank the rate of change of this arithmetic sequence.
Answer choices for blank is: equal to, greater than, less than

Arithmetic sequence blank can be represented as a linear function.
Answer choices for blank is: always, sometimes, never

Answer 1

The rate of change of the linear function is 4 (the difference in y-values between any two consecutive points).

The y-intercept of the linear function is 10 (the value of y when x = 0).

The rate of change (common difference) of the arithmetic sequence is 4 (n - 1 represents the difference in the value of each term).

The initial value of the arithmetic sequence is 14 (the value of a when n = 1).

The rate of change of this linear function is less than the rate of change of this arithmetic sequence.

Arithmetic sequence sometimes can be represented as a linear function.