Answer:
y = 150
Step-by-step explanation:
Proportions
It's given y is directly proportional to the square of x-1. It can be expressed as:
[tex]y=k(x-1)^2[/tex]
Where k is the constant of proportionality. We know y=24 when x=3. Substituting:
[tex]24=k(3-1)^2[/tex]
[tex]24=k(2)^2=4k[/tex]
Solving for k:
k = 24/4 = 6
Thus, the equation is:
[tex]y=6(x-1)^2[/tex]
When x=6:
[tex]y=6(6-1)^2=6(5)^2=6*25[/tex]
y = 150
