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pentagon [3]
3 years ago
13

15 y is directly proportional to (x - 1) 2 . When x = 5, y = 4. Find y when x = 7.

Mathematics
1 answer:
Ann [662]3 years ago
5 0

Answer:

y = 9

Step-by-step explanation:

Given y is directly proportional to (x - 1)² then the equation relating them is

y = k(x - 1)² ← k is the constant of proportionality

To find k use the condition x = 5 when y = 4

k = \frac{y}{(x-1)^2} = \frac{4}{4^2} = \frac{4}{16} = \frac{1}{4}, thus

y = \frac{1}{4}(x - 1)² ← equation of proportion

When x = 7, then

y = \frac{1}{4} × 6² = \frac{1}{4} × 36 = 9

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