need help on maths questionsWatch
Q6) The quantity for y is directly proportional to the square root of x for x > 0.
When x = 1/2 , y = 1
(i) find the equation connecting y and x
Q8) y is inversely proportional to the square of x, find the equation of the curve when x=1 and y =3
if it's inversely proportional then y = 1/x^2
and since y= 3, I just tried to join the two y values together like in functions so I multiplied 3 by 1/x^2 to get y = 3/x^2
Q9) The quantity of y is inversely proportional to a power of x for x >0
when x = 1, y = square root 2
when x=8, y=1/2
like above I just tried to join them together and got y= square root of (2x1 / x^2)
I got the right answers but the method doesn't really make sense because I was working back from the answers and trying to find out how to get to the answer. Can someone tell me a better method or explain how to to it?
y = k√x
8) you can say
y = k/x2
9) you can say
y = k/xn
I know the answers but I don't know what method to use to get there thank you anyway
-there needs to be a coefficient in there also called k.
You then put the points in that you’re given to work out the value of k.
And once you know the value of k, you can put it into the initial equation y=k/x^2