What is the rate of change and initial value for the linear relation that includes the points shown in the table? x; 1,3,5,7 y; 20,10,0,-10

The rate of change is -5

The initial value is 25

Step-by-step explanation:

Since, this is a linear relation

so, we can select any two points and find equation of line

points are (1,20) and (3,10)

so,

now, we can find slope

now, we can plug values

now, we can use point slope form of line

now, we can plug values

now, we can solve for y

we know that

slope is the rate of change

So, the rate of change is -5

For finding initial value , we can plug x=0 and find y

So, initial value is 25

step-by-step explanation:

subtract 7, so the answer is x < = 3, or c.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x