To determine the correct formula for a hydrocarbon, let's first recall the definition of a hydrocarbon: a molecule composed exclusively of hydrogen and carbon atoms.
Here's a closer examination of each given formula:
1. CH[tex]\(_2\)[/tex]O: This formula includes carbon, hydrogen, and oxygen. Since it contains an oxygen atom, it is not a hydrocarbon.
2. CH[tex]\(_4\)[/tex]: This formula contains one carbon atom and four hydrogen atoms, with no other elements present. Thus, it consists entirely of hydrogen and carbon, making it a hydrocarbon.
3. CH[tex]\(_3\)[/tex]OH: This formula includes carbon, hydrogen, and an oxygen atom in the form of a hydroxyl group (-OH). The presence of oxygen means it is not solely made up of hydrogen and carbon, so it is not a hydrocarbon.
4. HCOOH: This formula represents formic acid, which includes carbon, hydrogen, and two oxygen atoms. The presence of oxygen atoms indicates it is not a hydrocarbon.
Given that only CH[tex]\(_4\)[/tex] fits the criteria for a hydrocarbon, we identify it as the correct formula for a hydrocarbon.
Thus, the answer is [tex]\( \boxed{CH_4} \)[/tex].
