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

y = 100

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 =
`(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