I thought this would be simple, as I'm familiar with algebra and not really "The constant of proportionality," but I will do my best.
So this said "Constant of proportionality," is referring to basically the answers for the equation when X equals certain numbers.
Make a table of different answers when you plug in X and you get the 'Constant of proportionality.'
y = 2.5x + 3
y = 2.5(1) + 3
y = 2.5 + 3
y = 5.5
Since we plugged in 1 for X and got 5.5 for Y, our input and output is (1, 5.5)
Replace X for a different value, and you will get a bunch of different numbers that will in essence be your function inputs and outputs. Make a table of these and you have your answer.
EXAMPLE -
-= x =- -= y =-
-= 1 =- -= 5.5 =-
-= 2 =- -= 8 =-
-= 3 =- -= 11.5 =-
-= 4 =- -= 13 =-
So there you have it. I hope this helps! If you have any further questions, don't hesitate to ask.
This is what I got and hopefully it helps.
1.A The dot is not filled and it points in the left direction
2.B The dot is filled and it points to the left
3.A The dot is not filled and it is pointed in the left direction
4.C The dot is filled and is pointing in the right direction.
Whenever you have a filled dot it will always be a greater than or equal to or less than or equal to. When the dot is not filled, the answer will always be greater than or less than.
You could interpret them as system of equation and answer the question easily
from A
-4x + y + x + w =1
write in same form from A
as this system has five variables and four of them are unknowns it means the unique solution is not possible
So, det (A) = 0
You can substitute the value of y(5/6 x + 1) from the first equation for y in the second and get
which becomes
and you get