Question

student of class 9, while experimenting with the stretching length of the spring arrived at a

linear equation y = 4x + 3 where ‘x’ denotes weight attached to the spring and y denotes length of

the spring. When x is increased by 2, how much does y increase? ​

Answer 1

SOLUTION

GIVEN

Student of class 9, while experimenting with the stretching length of the spring arrived at a linear equation y = 4x + 3 where ‘x’ denotes weight attached to the spring and y denotes length of the spring.

TO DETERMINE

The increment of y When x is increased by 2

EVALUATION

Here it is given that , student of class 9, while experimenting with the stretching length of the spring arrived at a linear equation y = 4x + 3 where ‘x’ denotes weight attached to the spring and y denotes length of the spring.

So the given linear equation is

$\sf{y = 4x + 3}$

In order to determine the increment of y When x is increased by 2 we put x =

We get

$\sf{y = (4 \times 2) + 3}$

$\sf{ \implies \: y = 8+ 3}$

$\sf{ \implies \: y = 11}$

Hence the increment of y is 11 when x is increased by 2

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