Final answer:
The 10-year-old child has intermittent fever, which is characterized by periodic spikes in temperature that alternate with periods of normal or subnormal temperatures. This pattern may be seen in certain infections, such as malaria.
Step-by-step explanation:
The 10-year-old child has intermittent fever. Intermittent fever is characterized by periodic spikes in temperature that alternate with periods of normal or subnormal temperatures. The symptoms of severe headaches and a fever of 40 °C (104 °F) that Michael experienced after 4 days indicate an intermittent pattern. This pattern may be seen in certain infections, such as malaria.