Question

In the given table, the relation between x and y is, y =

• A. $2x+10$
• B. $x+10$
• C. $3x+10$

Answer 1

The correct option is C $3x+10$

We check the value of y by substituting the values of x from the respective equations:

First option: $y=3x+10$

Number of teachers (x)	$0$	$20$	$50$
$y=3x+10$	$3\times 0+10$ $=0+10$ $=10$	$3\times 20+10$ $=60+10$ $=70$	$3\times 50+10$ $=150+10$ $=160$
Number of students (y)	$10$	$70$	$160$

Here, we can see that the y-values are perfectly matching with values from the table.

Second option: $y=2x+10$

Number of teachers (x)	$0$	$20$	$50$
$y=2x+10$	$0\times 2+10$ $=0+10$ $=10$	$20\times 2+10$ $=40+10$ $=50$	$50\times 2+10$ $=100+10$ $=110$
Number of students (y)	$10$	$50$	$110$

Here, we can see that the y-values are not matching with values from the table.

And the last option: $y=x+10$

Number of Teachers (x)	$0$	$20$	$50$
$y=x+10$	$0+10$ $=10$	$20+10$ $=30$	$50+10$ $=60$
Number of Students (y)	$10$	$30$	$60$

Here, we can see that the y-values are not matching with values from the table.

∴ We observe that the correct relation for the table given is, $y=3x+10$