• edited by
1,871 views
0 0 votes

$\begin{array}{|c|c|c|c|c|c|c|c|} \hline x & 1 & 2 & 3 & 4 & 5 & 6 \\\hline y & 4 & 8 & 14 & 22 & 32 & 44 \\\hline \end{array}$

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

  1. $y = a + bx$
  2. $y = a + bx + cx^2$
  3. $y = e^{a + bx}$
  4. None of the above

1 Answer

0 0 votes
Answer is B
Take a=2, b=1, c=1 then checking different values
F(1) = 2+(1*1)+(1*1)=4
F(2) = 2+(1*2)+(1*4)= 8

In this way all values are satisfied...
Position:
Show:

Related questions

0 0 votes
0 0 answers
2.5k
2.5k views
go_editor asked May 1, 2016
2,501 views
$\text{A, B, C}$ are three numbers. Let $@ \text{(A, B)} =$ average of $\text{A}$ and $\text{B}$, $/ \text{(A, B)} = $ product of $\text{A}$ and $\text{B}$, and $\text{X...
2 2 votes
2 2 answers
3.5k
3.5k views
go_editor asked Mar 28, 2016
3,517 views
$\text{A, B, C}$ are three numbers. Let $@ \text{(A, B)} =$ average of $\text{A}$ and $\text{B}$, $/ \text{(A, B)} = $ product of $\text{A}$ and $\text{B}$, and $\text{X...
0 0 votes
0 0 answers
1.2k
1.2k views
go_editor asked Mar 28, 2016
1,191 views
Each of the numbers $x_1, x_2,\dots, x_n, n 4,$ is equal to $1$ or $–1.$ Suppose, $x_1x_2x_3x_4 + x_2x_3x_4x_5 + x_3x_4x_5x_6 + \dots + x_{n–3}x_{n–2}x_{n–1}x_n + x_{n–2...
1 1 vote
1 answers 1 answer
1.9k
1.9k views
go_editor asked Mar 28, 2016
1,903 views
Let $x, y$ and $z$ be distinct integers, that are odd and positive. Which one of the following statements cannot be true?$xyz^2$ is odd.$(x − y)^2 z$ is even.$(x + y − z)...
0 0 votes
1 answers 1 answer
3.0k
3.0k views
go_editor asked May 4, 2016
3,034 views
Let $x$ and $y$ be positive integers such that $x$ is prime and $y$ is composite. Then,$y – x$ cannot be an even integer$xy$ cannot be an even integer.$\frac{x+y}{x}$ can...