Answer:
1. 4
2. y = 4x
Step-by-step explanation:
1.
Divide any y value by its corresponding x value to find the constant of proportionality.
8/2 = 4
Constant of proportionality: 4
2.
Equation of proportional relation:
y = kx, where k is the constant of proportionality.
y = 4x
Answer:
4 or -4
Step-by-step explanation:
Y is directly proportional to x^2 means there is a constant, k, such that y=kx^2.
We are given y=8 when x=2. This information will allow us to find k in the equation y=kx^2.
8=k(2)^2
8=k(4)
This implies k=2 since 2(4)=8.
So the equation for any pair (x,y) is y=2x^2.
We want to find x when y=32.
32=2x^2
32/2=2x^2/2
16=x^2
This implies x=4 or -4.
Answer:
1.5 Liters
Step-by-step explanation: