To determine how many pounds are there in [tex]\( x \)[/tex] kilograms, we need to use the given conversion factor: there are 2.2 pounds in 1 kilogram.
Here’s a step-by-step process to solve this:
1. Understand the Conversion Factor:
The conversion factor between kilograms and pounds is given as:
[tex]\[
1 \text{ kilogram} = 2.2 \text{ pounds}
\][/tex]
2. Set Up a Proportional Relationship:
If you have [tex]\( x \)[/tex] kilograms, to find out how many pounds that is, you multiply the number of kilograms by the conversion factor:
[tex]\[
x \text{ kilograms} \times 2.2 \text{ pounds per kilogram}
\][/tex]
3. Perform the Multiplication:
The multiplication gives you:
[tex]\[
2.2x \text{ pounds}
\][/tex]
So, if there are 2.2 pounds in 1 kilogram, there are [tex]\( 2.2x \)[/tex] pounds in [tex]\( x \)[/tex] kilograms. Thus, the correct choice is:
[tex]\[
2.2x
\][/tex]
