The number two in the expression 5 + 2x is called the coefficient of x how does changing the coefficient to 6 change the meaning of the expression

Changing the coefficient of x to 6 changes the meaning of expression as 5 is added to 6 times x

Solution:

Given that number 2 in the expression 5 + 2x is called the coefficient of x

We are asked to find what happens when changing the coefficient to 6 change the meaning of the expression

In the expression,

5 + 2x

This means 5 is added to 2 times x or 5 is added to twice of x

Number 2 is called coefficient of x

When we change this coefficient to 6, the expression becomes,

5 + 6x

So now the meaning of expression becomes,

5 is added to 6 times x

So changing the coefficient of x changes the meaning of expression

The total value would increase.

Step-by-step explanation:

No matter what x is, as long as it is not zero, the value will increase, as 6 > 2, so 6, no matter what it is multiplied by, will end up greater than 2 multiplied by the same number.