Question

What is the rate of change and initial value for the linear relation that includes the

points shown in the table? (2 points)
ху
1 20
3 10
2-20
0
1) Initial value: 20, rate of change: 10
2) Initial value: 30, rate of change: 10
0
3) Initial value: 25, rate of change: -5
4) Initial value: 20, rate of change: -10

Answer 1

The initial value of the function is 25 and the rate of change is - 5.

Explanation:

The table gives the ordered pairs of linear relation and they are (1,20) and (3,10).

Now, the equation of the linear relation that includes those ordered pairs will be

`(y - 10)/(10 - 20) = (x - 3)/(3 - 1)`

⇒ y - 10 = - 5(x - 3)

⇒ y - 10 = - 5x + 15

⇒ y = - 5x + 25

Therefore, the initial value of the function is 25 and the rate of change is - 5. (Answer)