(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

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)

Now we find slope using last two point

(6,5) and (8,6)

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

Hence, The relation represents a linear equation

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

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

i really dont know

step-by-step explanation: