Question

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

Answer 1

A

Explanation:

bc i said so

Answer 2

`y = (1)/(2) x + 2`.

Explanation:

From the given table it is clear that x and y are linearly related.

Now, any two points that satisfy the relation between x and y are sufficient to express the equation.

The first two given points are (2,3), and (4,4).

Therefore, the equation is
`(y - 4)/(4 - 3) = (x - 4)/(4 - 2)`

⇒
`y - 4 = (1)/(2) (x - 4)`

⇒
`y - 4 = (1)/(2) x - 2`

⇒
`y = (1)/(2) x + 2`. (Answer)