Select the most appropriate option that can substitute the underlined words in the given sentence.

My son will carry out my business in my absence.

The correct answer is carry on.

Explanation:
The phrasal verb "carry on" means to continue doing something or to keep managing/running an enterprise or activity. In the given sentence, replacing the underlined words with "carry on" accurately conveys that the son will continue running the business during the parent's absence.

Meaning of the Phrasal Verbs:
• Carry on: To continue an activity, task, or business.
• Carry out: To perform or execute a task, order, or instruction (less appropriate than 'carry on' when referring specifically to continuing a business over a period of time).
• Carry at / Carry for / Carry in: These are either incorrect prepositional pairings in this context or mean physically bringing something indoors, which does not fit the sentence.