(x, y)
(0, 100)
(1, 99)
(2, 96)
Which of the following equations describes $y$ in terms of $x$ for all ordered pairs in the table above?

y = 100 - x^{2}

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y = 100 - x

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y = 100 - 2 x

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y = 100 - 4 x

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y = 100 - 100 x

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Solution

The correct option is A $y = 100 - x^{2}$
Given, points $(0, 100), (1, 99), (2, 96)$
Consider option A
$y = 100 - x^{2}$
On substituting (0,100) in the equation,
RHS $= 100 - 0^{2} = 100 = L H S$
On substituting (1,99) in the equation,
RHS $= 100 - 1^{2} = 99 = L H S$
On substituting (2,96) in the equation,
RHS $= 100 - 2^{2} = 96 = L H S$
$∴$ Option A is true.

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