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secondary 4 | A Maths

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Pls help me with this question. Preparing for o levels. Thank you very much!!!

From the coordinates, we have :

when x = 2, y = 16

when x = 3, y = 32

when x = 5, y = p

we can form 3 equations by subbing these values.

From the first set of coordinates,

16 = ka² ①

From the second set,

32 = ka³ ②

From the third set,

p = ka^5 ③

since a and k are constants,

we can divide ② by ①,

32/16 = ka³/ka²

2 = a

(If it's a variable x then we cannot divide like this since we would be removing a possible result)

Now we sub a = 2 back into ②(or ① , up to you)

32 = k(2³) = 8k

k = 32/8 = 4

Now sub a = 2 and k = 4 into ③

p = 4(2^5) = 128

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