Q56. - Algebra 1

Question

Describe a real-world situation that could be represented by the absolute value equation $\left|x-4\right|=10$.

Step-by-Step Solution

Answer

The temperature in Canada at night can be. $4\pm 10$.

Step-1. Apply the concept of Variables and constant.

Variables: - In any expression or equation, the variable is an unknown quantity. It may be any alphabet or any special symbol.

Constants: - In any expression or equation, the constants are the values that are fixed.

While performing addition in an equation, the same kind of elements or like terms are added together.

Step-2. Concept of absolute value.

Absolute value: - Absolute value of any quantity simply means a positive value of that quantity.

Example: -

Consider a variable x. Here x can be both positive or negative but $\left|x\right|$ will always be positive and hence the absolute value. 

Step-3. Solution of the given problem.

The given expression is:

$\left|x-4\right|=10$

Calculation:

Let t be the temperature in Canada at night.

So, the temperature in Canada at night can be $4\pm 10$. The base temperature is 4 and it can fluctuate up and down 10.