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Question : 39 of 39

Marks: +1, -0

x	5	6	7	8
y	11	13	15	17

In the above table corresponding values of two variable

x

y

have been given. Which of the following equations establishes the relationship between the two variables?

$y=3 x+2$
$y=2 x-1$
$y=2 x+1$
$y=3 x+1$

Solution:

Concept:

Substitute each

(x, y)

pair into the given equations to find which one holds true for all entries.

Explanation:

From the table:

(5,11), (6,13), (7,15), (8,17)

.

Check option C:

y = 2x + 1

.

For

x=5

:

2(5)+1 = 11

. Correct.

For

x=6

:

2(6)+1 = 13

. Correct.

For

x=7

:

2(7)+1 = 15

. Correct.

For

x=8

:

2(8)+1 = 17

. Correct.

Thus option C works for all pairs.

Answer:

The equation that establishes the relationship is

y = 2x + 1

.

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