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VARVARA [1.3K]
3 years ago
6

Y is directly proportional to (x-1)2. When x = 3, y = 24. Find y when x = 6.

Mathematics
1 answer:
alekssr [168]3 years ago
8 0

Answer:

<em>y = 150</em>

Step-by-step explanation:

<u>Proportions</u>

It's given y is directly proportional to the square of x-1. It can be expressed as:

y=k(x-1)^2

Where k is the constant of proportionality. We know y=24 when x=3. Substituting:

24=k(3-1)^2

24=k(2)^2=4k

Solving for k:

k = 24/4 = 6

Thus, the equation is:

y=6(x-1)^2

When x=6:

y=6(6-1)^2=6(5)^2=6*25

y = 150

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