Question

Which of the following rules describes the function graphed below? a. Output = Input c. Output = (0.5)(Input) + 1.5 b. Output = (2)(Input) – 3 d. Output = (1.5)(Input) + 3

Answer 1

answer

Output = (0.5)(Input) + 1.5

input = 1 , output = (0.5)(1) + 1.5 = 2
input = 3 , output = (0.5)(3) + 1.5 = 3
input = 5 , output = (0.5)(5) + 1.5 = 4
input = -1 , output = (0.5)(-1) + 1.5 = 1

Answer 2

Option C

output=0.5(input)+1.5

Explanation:

Let

y------> the output

x------> the input

we have

`A(-1,1), B(5,4)`

Find the slope

The formula to calculate the slope between two points is equal to

`m=(y2-y1)/(x2-x1)`

substitute the values

`m=(4-1)/(5+1)`

`m=(3)/(6)=0.5`

Find the equation of the line

`y-y1=m(x-x1)`

we have

`m=0.5`

`A(-1,1)`

substitute

`y-1=0.5(x+1)`

`y=0.5x+0.5+1`

`y=0.5x+1.5`

remember that

y=output

x=input

substitute

output=0.5(imput)+1.5