Question

(05.03)

What is the rate of change and initial value for the linear relation that includes the points shown in the table? (4 points)

x y
1 10
2 8
3 6
4 4

Group of answer choices

Initial value: 12, rate of change: -2

Initial value: 8, rate of change: 2

Initial value: 12, rate of change: 2

Initial value 8, rate of change: -2

Answer 1

The answer is A, "Initial value: 12, rate of change: -2."

Explanation:

I just completed the test and got it correct.

Answer 2

Initial value: 12, rate of change: -2

Explanation:

The rate of change is given by change in the y-values over change in x-values.

There is a constant change of -2 in y-values.

There is also a constant change of 1 in the x-values.

The rate of change is -2

The initial value is when x=0,

So we go back one step, and that will give us (0,12)

Therefore the initial value is 12.