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(05.02)
Two quantities are related, as shown in the table:




x

y

2 3
4 4
6 5
8 6


Which equation best represents the relationship?
y = 1 over 2 x + 2
y = 1 over 2 x + 1
y = x + 2 y = 2x + 1

Respuesta :

musiclover10045

first equation y=1/2x +2

x=2 = 1/2(2) +2 =1+2 =3

x=4 = 1/2(4)+2 = 2+2 =4


first equation  is the answer

isyllus

Answer:

[tex]y=\dfrac{1}{2}x+2[/tex]

A is correct

Step-by-step explanation:

Given: Table of x and y

 x  :  2    4     6     8

 y  :  3    4     5     6

Using two point find the slope:

(2,3) and (4,4)

[tex]Slope=\dfrac{4-3}{4-2}[/tex]

[tex]\text{Slope }=\dfrac{1}{2}[/tex]

Now we find slope using last two point

(6,5) and (8,6)

[tex]\text{Slope }=\dfrac{6-5}{8-6}[/tex]

[tex]\text{Slope }=\dfrac{1}{2}[/tex]

Slope is equal. Thus, The given relation is linear.

[tex]y-3=\dfrac{1}{2}(x-2)[/tex]

[tex]y=\dfrac{1}{2}x+2[/tex]

Hence, The relation represents a linear equation [tex]y=\dfrac{1}{2}x+2[/tex]

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