Solve the following problem and select your answer from the choices given.

If there are 2.2 pounds in 1 kilogram, how many pounds are there in [tex]$x$[/tex] kilograms?

A. [tex]$\frac{x}{2.2}$[/tex]
B. [tex][tex]$2.2 x$[/tex][/tex]
C. [tex]$2.2 + x$[/tex]
D. [tex]$\frac{2.2}{x}$[/tex]



Answer :

To solve this problem, we need to convert [tex]\(x\)[/tex] kilograms into pounds using the given conversion factor: there are 2.2 pounds in 1 kilogram.

To find out how many pounds are there in [tex]\(x\)[/tex] kilograms, we multiply the number of kilograms by the conversion factor:

[tex]\[ \text{pounds} = 2.2 \times x \][/tex]

Let's break this down step-by-step:

1. Understand the Problem:
- We know 1 kilogram is equal to 2.2 pounds.
- We need to find out how many pounds are equivalent to [tex]\(x\)[/tex] kilograms.

2. Set up the Equation:
- Since 1 kilogram = 2.2 pounds, we multiply the number of kilograms by 2.2 to convert it to pounds.
- Therefore, the number of pounds in [tex]\(x\)[/tex] kilograms is calculated as follows:
[tex]\[ \text{pounds} = 2.2 \times x \][/tex]

3. Perform the Calculation:
- For any given value of [tex]\(x\)[/tex], the formula to convert kilograms to pounds is:
[tex]\[ \text{pounds} = 2.2 \times x \][/tex]

Choosing the correct answer from the given choices, we have:
- [tex]\( \frac{x}{2.2} \)[/tex]
- [tex]\( 2.2 x \)[/tex]
- [tex]\( 2.2 + x \)[/tex]
- [tex]\( \frac{2.2}{x} \)[/tex]

The correct choice is [tex]\(2.2x\)[/tex].

So, the number of pounds in [tex]\(x\)[/tex] kilograms is [tex]\(2.2x\)[/tex].