To determine how many pounds are there in [tex]\( x \)[/tex] kilograms, we start with the information that 1 kilogram is equivalent to 2.2 pounds.
Let's denote the number of kilograms as [tex]\( x \)[/tex]. To find the number of pounds in [tex]\( x \)[/tex] kilograms, we use the ratio provided:
1 kilogram = 2.2 pounds
Thus, to find out how many pounds are there in [tex]\( x \)[/tex] kilograms, we can set up the following relationship:
[tex]\[ \text{Number of pounds} = 2.2 \times \text{Number of kilograms} \][/tex]
Since the number of kilograms is [tex]\( x \)[/tex], the equation becomes:
[tex]\[ \text{Number of pounds} = 2.2 \times x \][/tex]
Therefore, the number of pounds in [tex]\( x \)[/tex] kilograms is given by the expression [tex]\( 2.2x \)[/tex].
Among the given options:
[tex]\[
\frac{x}{2.2}
\][/tex]
[tex]\[
2.2 x
\][/tex]
[tex]\[
2.2 + x
\][/tex]
[tex]\[
\frac{2.2}{x}
\][/tex]
The correct option that represents the number of pounds in [tex]\( x \)[/tex] kilograms is [tex]\( 2.2x \)[/tex].
Hence:
[tex]\[
\boxed{2.2x}
\][/tex]
