Question

# Study the table and find the value of output "y" at input "x" = 12.

A
84
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B
96
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C
86
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D
106
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Solution

## The correct option is B 96 From the table, we observe: As the first differences are not same, the function cannot be linear. Here, the second differences are equal, the function is quardratic. Since, the second difference all are+43, so, the function is a quadratic one i.e. y=ax2 Let us consider one point, say (1,23) from the table and substitute the value in the above equation. y=ax2 ⇒23=a(12) ⇒23=a ⇒a=23 So, y=23x2 ∴ The equation of the data given in table is y=23x2 When x = 12, y=23×(12)2=96

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