Question

10 min left please help!

Answer 1

`\textbf{Option C: $(3,2.25)$, $(6,4.5)$, $(8,6)$, $(107.5) $}\\`

Explanation:
`\textup{It is given that B has a lesser relationship than A}.\\\\\textup{That means B would be growing lesser inches on any given week than A.}\\\\\textup{Look at the graph of A. In the sixth week, A has grown 9 inches [(6,9)].}\\\\\textup{That means B should have grown lesser than that.}\\`

`\textup{In all the options except for C, we have numbers greater than 9 against 6 for B making them }`
`\textup{wrong}`

Answer 2

The option 3 will be perfect for Relationship B.

Explanation:

Relation A gives two points on the graph of it, and they are (2,3) and (4,6).

Therefore, the equation of A is given by
`(y-6)/(6-3) =(x-4)/(4-2)`

⇒
`2y = 3x`

⇒
`y= (3)/(2) x` ....... (1)

Now, relationship B is given in the table which has lesser rate i.e. lesser slope than relationship A. So, the y value for A will be higher that y value of B for the same value of x.

From equation (1),
`y_(x=3) = 4.5` > 2.25 only.

Now,
`y_(x=6) =9 > 4.5`

`y_(x=8) =12 > 6`

and
`y_(x=10) =15 > 7.5`

Therefore, the option 3 will be perfect for Relationship B. (Answer)