Question

Alice studies the relationship between climate and heart disease around the world.
\[H(t)\] models the probability for the occurrence of heart disease (in percents relative to the global average) at an area where the temperature is
\[t\] degrees Celsius.
According to Alice's model, when the temperature is
\[-5\degree\text{ C}\] (which is the lowest temperature included in the model), the probability is
\[10\%\] above average. Then the probability decreases until the temperature reaches
\[30\degree\text{ C}\] (which is the highest temperature included in the model), where the probability is
\[20\%\] below average.
Which number type is more appropriate for the domain of
\[H\]?

Answer 1

Real numbers — specifically the closed interval [-5, 30]. Temperature is a continuous quantity (not just integers), so the domain is the real-valued interval from −5°C to 30°C.