Answer: Job Characteristics model of Job Satisfaction.
Explanation: Job characteristics model explains that an employee will experience job satisfaction as long as the characteristics of the work he/she is being asked to do, matches or encourages the intrinsical motivational characteristics that the person has.
In this particular case, Rebecca is chosen by the manager to chair the annual charity drive because Rebecca is intrinsically motivated to do charity and volunteer work, therefore, she would not only be competent at her new role, but she'd probably experience Job Satisfaction as well.