Question

Y is directly proportional to
the square of (x - 1). y=63
when x=4. find the value of y
when x=6.

Answer 1

Answer:

y = 100

Step-by-step explanation:

y $\alpha$ $(x -1)^{2}$

y = c ($x^{2}$ - 2x + 1)

When y = 63, x = 4;

63 = c ($4^{2}$ - 2(4) + 1)

     = 9c

63 = 9c

c = $\frac{63}{9}$

c = 7

Thus,

y = 4($x^{2}$ - 2x + 1)

The value of y when x = 6 can be determined as;

y = 4($6^{2}$ - 2(6) + 1)

   = 4(25)

y = 100

Therefore, y = 100