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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

Which of the following rules describes the function graphed below a Output Input c Output 05Input 15 b Output 2Input 3 d Output 15Input 3 class=

Respuesta :

choixongdong
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
calculista

Answer:

Option C

output=0.5(input)+1.5

Step-by-step explanation:

Let

y------> the output

x------> the input

we have

[tex]A(-1,1), B(5,4)[/tex]

Find the slope

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


[tex]m=\frac{y2-y1}{x2-x1}[/tex]


substitute the values

[tex]m=\frac{4-1}{5+1}[/tex]


[tex]m=\frac{3}{6}=0.5[/tex]


Find the equation of the line

[tex]y-y1=m(x-x1)[/tex]

we have

[tex]m=0.5[/tex]


[tex]A(-1,1)[/tex]

substitute

[tex]y-1=0.5(x+1)[/tex]

[tex]y=0.5x+0.5+1[/tex]

[tex]y=0.5x+1.5[/tex]

remember that

y=output

x=input

substitute

output=0.5(imput)+1.5

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