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

Answer:

Option C

output=0.5(input)+1.5

Step-by-step 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

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{4-1}{5+1}$

$m=\frac{3}{6}=0.5$

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