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 = 175

Step-by-step explanation:

Let k be a constant.

y = k*(x-1)^2

put x=4 and y=63

63= k*(4-1)^2

k=7

so the equation becomes

y = 7(x-1)^2

put x = 6

so y = 7 * (6-1)^2

y = 7 * 25

so y = 175

Answer 2

Answer:

175

Step-by-step explanation:

y∝(x-1)²

y =k(constant)×(x-1)²........A

when y=63 then x=4

so

k=y/(x-1)²........B

putting values of y and x

k=7 in above equation

now when x=6 and k=7(as we found)

putting x=6 and k=7 in A

Y=K(X-1)²

Y=7(6-1)²

Y=7(25)

Y=175

Verification

putting y=175 and x=6 in B

k=175/25

k=7(Hence verified)