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:

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:

$y=k(x-1)^2$

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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