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Sagot :
First, if y varies as the square of x, that means:
y = kx2
where k is the constant of proportionality. When thinking about change, I like to use subscripts to represent before and after. We will use a subscript of 1 to denote before (or the initial value of a variable) and a subscript of 2 to represent after (or the final value of a variable). So, y1 is the initial and y2 is the final. Also, x1 is the initial and x2 is the final. k does not change, so it doesn't get any subscripts. Thus, we can write two equations, because the above equation must hold before and after.
y1 = k(x1)2
y2 = k(x2)2
This is not obvious, but after a few times it becomes natural. We can now eliminate k. An easy way to do that is to divide the second equation by the first to get:
y2 / y1 = (x2)2 / (x1)2
The right hand side of the equation can be written in another form, to get:
y2 / y1 = ( x2 / x1 )2
Okay... so why did I do this? Because we are talking about factors of change, not absolute changes. So, y2/y1 represents the factor change of y and x2/x1 represents the factor change of x. Thus, when the prompt says x is doubled, we can understand that to mean that:
x2/x1 = 2
And we can determine the factor change of y by substituting 2 for the the factor change of x.
y2 / y1 = (2)2 = 4
So, when x is doubled, y is quadrupled. quadrupled when x is doubled.
Step-by-step explanation:
Hope it helps
Brainlest me
#Carry on learning
From meow meow
Umaasa kaming naging kapaki-pakinabang ang aming mga sagot. Bumalik anumang oras para sa karagdagang impormasyon at mga sagot sa iba pang mga tanong na mayroon ka. Salamat sa iyong pagbisita. Kami ay nakatuon sa pagbibigay sa iyo ng pinakamahusay na impormasyon na magagamit. Bumalik anumang oras para sa higit pa. Imhr.ca ay nandito upang magbigay ng tamang sagot sa iyong mga katanungan. Bumalik muli para sa higit pang impormasyon.