To keep the client informed about project needs and budget compliance, the project manager should send a weekly status report by email. This report provides a structured and documented update on project progress, budget status, and any actions required from the client.

According to the CompTIA Project+ PK0-005 exam objectives, under Domain 1.8: Compare and contrast communication management concepts, regular status reporting is a key component of effective communication management. It ensures that stakeholders are kept informed and engaged throughout the project lifecycle.