Answer
The name of the compound is :
3,5-dimethyl7-phenylnonane.
Work Step by Step
The longest carbon chain contains 9 carbon atoms (nonane). There are 2 methyl substituents, one each on positions 3 and 5. Benzene is acting as a substituent, so we consider the phenyl substituent at position 7. Hence, name of the compound is:
$3,5-dimethyl7-phenylnonane$