Finding Relation Between x and y

Question

Given the following table of values for $x$ and $y$ :

$x$	1	2	3	4	5	6
$y$	4	8	14	22	32	44

In the above table, for suitably chosen constants $a$ , $b$ , and $c$ , which one of the following best describes the relation between $y$ and $x$ ?

Accepted Answer

B. The second differences of $y$ are constant: 1st differences: $4, 6, 8, 10, 12$ 2nd differences: $2, 2, 2, 2$ Since the second difference is constant, $y$ is a quadratic function of $x$ of the form $y = a + bx + cx^2$.

Answer

$y = a + bx$

Answer

$y = a + bx + cx^2$

Answer

$y = e^{a + bx}$

Answer

None of these

Finding Relation Between x and y

Explanation

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