Which of the given equations in the alternatives establishes relationship between x and y in accordance with the table given below?
x 0 1 2 3 4
y 100 90 70 40 0

y = 50 - 5 x - 5 x^{2}

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y = 100 - 5 x - 5 x^{2}

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y = 110 - 4 x - 5 x^{2}

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y = 100 - 4 x - 5 x^{2}

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Solution

The correct option is A $y = 100 - 5 x - 5 x^{2}$
$y = 100 - 5 x - 5 x^{2}$
If $x = 0, 1, 2, 3$ and 4, the corresponding values of y will be:
$y = 100 - 5 \times 0 - 5 \times 0^{2} = 100$
$y = 100 - 5 \times 1 - 5 \times 1^{2} = 90$
$y = 100 - 5 \times 2 - 5 \times 2^{2} = 70$
$y = 100 - 5 \times 3 - 5 \times 3^{2} = 40$
$y = 100 - 5 \times 4 - 5 \times 4^{2} = 0$

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