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].
