if y is directly propotional to x^2 and the differnce in the values of

1.	if y is directly propotional to x^2 and the differnce in the values of y when x=1 and x=3 is 32 find the values of y when x=2
Answer» Answer: 16 Step-by-step explanation: GIVEN y is directly proportional to x^2, MEANS there is a constant k so that y = k * x2. For x = 1 y(1) = k and for x =3 y(3) =9k Now y(3) - y(1) = 9k - k = 8k = 32 k = 4 The relationship is y = 4x2 For x = -2, y = 4 * (-2)2 = 16

if y is directly propotional to x^2 and the differnce in the values of y when x=1 and x=3 is 32 find the values of y when x=2

Answer»

Answer:

Step-by-step explanation:

GIVEN y is directly proportional to x^2, MEANS there is a constant k so that y = k * x2.

For x = 1 y(1) = k and for x =3 y(3) =9k

Now y(3) - y(1) = 9k - k = 8k = 32

k = 4

The relationship is y = 4x2

For x = -2, y = 4 * (-2)2 = 16